Q.

A straight line l2 with equation x - 2y + 10 = 0 meets the circle with equation x2+y2=100 at B in the first quadrant. A line through B perpendicular to l1 cuts the y-axis at P(0, t). The value of t is

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a

12

b

15

c

20

d

25

answer is C.

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Detailed Solution

Slope of l1=12Slope of l2=−2The equation of l2 is y=−2(x−10)or  y+2x=20Hence, t = 20
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A straight line l2 with equation x - 2y + 10 = 0 meets the circle with equation x2+y2=100 at B in the first quadrant. A line through B perpendicular to l1 cuts the y-axis at P(0, t). The value of t is