All Questions and Answers

3 Qs

(i) $167 $ (ii) $12523 $

(iii) $149 $ (iv) $4532 $

(v) $5043 $ (vi) $4017 $

(vii) $7561 $ (viii) $250123 $

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State whether True or False

$138 $ can be represented as $0.615384$

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15 Qs

State whether True or False

The square of $5 −2$ is $9−45 $View solution

State whether True or False

The square of $3+25 $ is $29+125 $View solution

Given universal set $={−6,−543 ,−4 ,−53 ,−83 ,0,54 ,1,132 ,8 ,3.01,π,8.47}$

From the given set, find the set of irrational numbers.

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Given universal set $={−6,−543 ,−4 ,−53 ,−83 ,0,54 ,1,132 ,8 ,3.01,π,8.47}$

From the given set, find the set of integers.

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State whether true or false

The pair of irrational numbers gives difference which is irrational are $2+23 $ and $3−32 $View solution

If the following statement is True, enter 1 else enter 0.

The difference between these two irrational numbers, $7+52 $ and $−3+52 $ is rational.View solution

check whether the following statement is True or False:

The product of these two irrational numbers $3 +32 $ and $2 −3 $ is also an irrational number.View solution

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$1.5$ is rational number between $2 $ and $3 $.

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31 Qs

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If the lowest rationalising factor of $24 $ is $m $, then find the value of $m$.

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The diagonals of a rhombus are $12$ cm and $16$ cm. Find :

$5 −3$ is $5 +m$m is

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$18 −50 $ is $m $

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$5 −2$ is $5 +m$

$m$ is

$m$ is

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$13 +3$ is $13 −m$

$m$ is

$m$ is

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$15−32 $ is $m+2 $

$m$ is

$m$ is

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3√2+2√332√+23√ is

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$2−3 2+3 =a+b3 $

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If $7 +27 −2 =a7 +b$, then $a=−3m $

where m is

where m is

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$3 −2 3 =a3 −b2 $

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then the value of m if m is rational number

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If $x_{2}$ is $161−72m $, then value of $m$ is ?

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Find the value of $xy$.

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Find the value of $x_{2}+y_{2}+xy$.

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$x1 $ $=−m5+46 $.

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Given: $x=5−46 $.

If $x−x1 $ is equal to $71360 −71280 m $, then the value of $m$ is ?View solution

Find the value of m.

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If $m_{2}$ is equal to $17+6n $, then value of $n$ is?

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Solve:

$mn=(3−8 )×(3+8 )1 $.

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If $x+x1 $ is equal to $m53 +32 $, then value of $m$ is :

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47 Qs

$y=34 x−7$

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For equation given below, $y$ is the independent variable and $x$ is the dependent variable.

$x=9y+4$If above statement is true then write 1 and if false then write 0.

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$x=25y+3 $

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$y=71 (6x+5)$

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$(−4,−3)$

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If true then enter $1$ and if false then enter $0$.

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Use the graph given alongside, to find the coordinates of the point(s) satisfying the given condition:

The ordinate is 0.The point is (5,0)

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If true then enter $1$ and if false then enter $0$.

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If true, then enter $1$ and if false, then enter $0$.

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If true, then enter $1$ and if false, then enter $0$.

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The origin is in the first quadrant.

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The y-axis is the vertical number line.

If above statement is true then enter $1$ and if false then enter $0$.

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$3−2x=7;2y+1=10−221 y.$

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In the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation:

Claim : Solution is $(6,2)$

If true then enter $1$ and if false then enter $0$

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In the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation :

$5x−(5−x)=21 (3−x);4−3y=34+y $solution is $(1,54 )$

If true then enter $1$ and if false then enter $0$

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In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, the coordinates of the fourth vertex:

A (2, 0), B (8, 0) and C (8, 4)Claim: The co-ordinates of the fourth vertex are (2,4)

If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, the coordinates of the fourth vertex:

A (-4, -6), C (6, 0) and D (-4, 0) Claim: The co-ordinates of the fourth vertex are ($x$,-6).

Find $x$.

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In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, the coordinates of the fourth vertex:

B (10, 4), C (0, 4) and D (0, -2) Claim: The co-ordinates of the fourth vertex are (10,-2).

If true then enter $1$ and if false then enter $0$

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Also, from the same graph, state the co-ordinates of the mid-points of the sides $AB$ and $CD$.

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Claim : Answer is (4,4)

If true then enter $1$ and if false then enter $0$

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A (-2, 4), C (4, 10) and D (-2, 10). are the vertices of a square ABCD.

The co-ordinates of the mid-point of BC is (4,7) View solution

If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

$$(3, 5), (1, 1) and (0, -1)$$

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45 Qs

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$2x−7=0$

Which of the following points lie on this line?

Which of the following points lie on this line?

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$y=0$

Which of the following points lie on this line?

Which of the following points lie on this line?

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Which of the following is/are true regarding the following linear equation:

$y=2x+3$View solution

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Which of the following is/are true regarding the following linear equation:

$y=−x+4$View solution

Which of the following is/are true regarding the following linear equation:

$y=4x−25 $View solution

$y=23 x+32 $

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$3x−1 −2y+2 =0$

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$x−3=52 (y+1)$

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$x+5y+2=0$

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The co-ordinates of the points where the line meets the $X$-axis and the $Y$-axis are respectively. $21 x+32 y=5$

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$y=3x−1$

$y=3x+2$

$y=3x+2$

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$y=−x+5$

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$2x−3y=6$

$2x +3y =1$

$2x +3y =1$

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$3x+4y=24$

$4x +3y =1$

$4x +3y =1$

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Statement : Then the co-ordinates of points P and Q are P = (2, 0) and Q = (0, 3)

If statement is true then enter $1$ and if false then enter $0$

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Also find the value of $x$, when $y=−2$

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If true then enter $1$ and if false then enter $0$

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30 Qs

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The slope of the line whose inclination is $30_{∘}$ is $m 1 $. Find the value of $m$.

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find intercept of y.

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Slope $=2$ and y-intercept $=3$, then the equation of line is $y=mx+c$. Find $c−m$.

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Find $k$

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Find $k$

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Find k

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35 Qs

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Given : $∠ABC=60_{∘}$

$∠DBC=45_{∘}$

and BC = 40 cm.Find the length of AD (in cm)View solution

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If true then enter $1$ and if false then enter $0$

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If true then write 1 and if false then write 0.

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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$AB$ is $3 $ times of $BC$.

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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If true then enter $1$ and if false then enter $0$

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Find the length of its smallest diagonal.

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If true then enter $1$ and if false then enter $0$

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If CD = 40 m, then AB is 34.64 m

If true then enter $1$ and if false then enter $0$

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10 Qs

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42 Qs

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$sin60_{∘}cos30_{∘}+cos60_{∘}⋅sin30_{∘}$

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$cosec_{2}45_{∘}−cot_{2}45_{∘}$

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$[tan60_{∘}−1tan60_{∘}+1 ]=1−tan30_{∘}1+tan30_{∘} $

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If true then write 1 and if false then write 0.

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Where, $x,y$ are in degrees.

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If true then write 1 and if false then write 0.

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If true then write 1 and if false then write 0

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If true then write 1 and if false then write 0

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$sin60_{∘}$ is 0.87

State true or false.

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$K=sin3A+2sin4Acos3A−2cos4A $, when A = $15_{∘}$,$K=1+6 1−2 $

write 1 for true and 0 for false

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State true or false.

If A = $30_{∘}$, then $sin(60_{∘}+A)−sin(60_{∘}−A)=cosA$.View solution

$sin(A+30_{∘})+cos(A+60_{∘})=cosA$

State true or false.

State true or false.

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20 Qs

If true then write 1 and if false then write 0.

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If A = $60_{∘}$ and B = $30_{∘}$ then cos (A + B) = cos A cos B - sin A sin B.

If above statement is true then write 1 and if false then write 0.View solution

If true then write 1 and if false then write 0

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