﻿ If the line y = mx + c is a common tangent to the hyperbola x2100 - y264 = 1 and the circle x2 + y2 = 36, then which one of the following is true  | Conic Section

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Conic Section

Multiple Choice Questions

371.

The circle passing through the intersection of the circles, x2 + y2 – 6x = 0 and x+ y2 – 4y = 0, having its centre on the line, 2x – 3y + 12 = 0, also passes through the point :

• ( - 3, 6)

• ( - 3, 1)

372.

• 7x - 4y = 1

• 4x - 2y = 1

• 8x - 2y = 5

• 4x - 3y = 2

373.

Multiple Choice Questions

374.

If the common tangent to the parabolas, y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2, then c is equal to :

• $\frac{1}{\sqrt{2}}$

• $\frac{1}{2\sqrt{2}}$

• $\frac{1}{2}$

• $\frac{1}{4}$

375.

If the co–ordinates of two points A and B are  respectively and P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :

• 8

• 16

• 9

• 6

A.

4c2 = 369