Questions
The point on the straight line which is nearest to the circle 16 , is
a
(9/2,2)
b
(-9/2, 2)
c
(9/2, - 2)
d
none of these
detailed solution
Correct option is B
Clearly, required point is the point of intersection of the line y=2x+11and the line perpendicular to it passing through the centre of the circle.The coordinates of the centre are (−1,1/4)The equation of the line through(-1, 1 / 4) and perpendicular to y=2x+11 isy−14=−12(x+1)⇒2x+4y+1=0Clearly, (- 9/2, 2) is the point of intersection of y = 2x + 11 and 2x+4y+1=0.So, the coordinates of the required point are (- 9 / 2 , 2)Talk to our academic expert!
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The set of values of a for which the point is an interior point of the larger segment of the circle made by the chord is
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