The length of the chord of the circle -x-3-2-y-5-2-80 off by the line 3x-4y-9-0 is816sqrt-96-2sqrt-96-

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Toppr Admin · Accepted Answer

-x-x2212-3-2-y-x2212-5-2-80cut off by the line 3x-x2212-4y-x2212-9-0OP-x2223-x2223-x2223-9-x2212-20-x2212-95-x2223-x2223-x2223-OP-4-xA0-cmPA-x221A-80-x2212-16-PA-x221A-64-8AB-16-xA0-cm

The length of the chord of the circle $(x - 3)^{2} + (y - 5)^{2} = 80$ cut off by the line $3 x - 4 y - 9 = 0$ is
$8$
$16$
$\sqrt{96}$
$2 \sqrt{96}$

$(x - 3)^{2} + (y - 5)^{2} = 80$
cut off by the line $3 x - 4 y - 9 = 0$
$O P = ∣ ∣ ∣ \frac{9 - 20 - 9}{5} ∣ ∣ ∣$
$O P = 4 c m$
$P A = \sqrt{(80) - (16)}$
$P A = \sqrt{64} = 8$
$A B = 16 c m$

The length of the chord of the circle (x−3)2+(y−5)2=80 cut off by the line 3x−4y−9=0 is816√962√96

(x−3)2+(y−5)2=80cut off by the line 3x−4y−9=0OP=∣∣∣9−20−95∣∣∣OP=4 cmPA=√(80)−(16)PA=√64=8AB=16 cm

The length of the chord of the circle $(x - 3)^{2} + (y - 5)^{2} = 80$ cut off by the line $3 x - 4 y - 9 = 0$ is
$8$
$16$
$\sqrt{96}$
$2 \sqrt{96}$

$(x - 3)^{2} + (y - 5)^{2} = 80$
cut off by the line $3 x - 4 y - 9 = 0$
$O P = ∣ ∣ ∣ \frac{9 - 20 - 9}{5} ∣ ∣ ∣$
$O P = 4 c m$
$P A = \sqrt{(80) - (16)}$
$P A = \sqrt{64} = 8$
$A B = 16 c m$