Workout the following divisions 54lmn(l+m)(m+n)(n+1)÷81mn(l+m)(n+l)
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Q2
Find the angle between the lines whose direction cosines are given by the equations
(i) l + m + n = 0 and l2 + m2 − n2 = 0
(ii) 2l − m + 2n = 0 and mn + nl + lm = 0
(iii) l + 2m + 3n = 0 and 3lm − 4ln + mn = 0
(iv) 2l + 2m − n = 0, mn + ln + lm = 0
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Q3
If , then n equals
(a) 4
(b) 6
(c) 8
(d) none of these
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Q4
Statement-l: For every natural number n≥2,1√1+1√2+……+1√n>√n. Statement-2: For every natural number n≥2,√n(n+1)<n+1.
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Q5
What is the value of 1×1!+2×2!+3×3!+............n×n!; where n! means n factorial or n(n-1)(n-2)...1