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A variable circle passes through the poi...

A variable circle passes through the point `A(a ,b)` and touches the x-axis. Show that the locus of the other end of the diameter through `A` is `(x-a)^2=4b ydot`

A

`(x-p) ^(2) = 4 qy `

B

`(x-q)^(3) = 4py`

C

`(y -p) ^(2) = 4 qx`

D

`(y-q) ^(2) = 4px`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. The distance between the chords of contact of tangents to the circle x...

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  3. A variable circle passes through the point A(a ,b) and touches the x-a...

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  4. The locus of a point, which moves such that the lengths of the tangent...

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  5. The circle that can be drawn to touch the coordinate axes and the line...

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  6. Area of an equilateral triangle inscribed in a circle of radius a is

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  7. A point P moves such that PA/PB = p where A and B are two fixed pints ...

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  8. The lengths of the tangents from the points A and B to a circle are l...

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  9. Two circles which pass through the points A(0, a), B (0,-a) and touch ...

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  10. No portion of the circle x ^(2) + y^(2) - 16x + 18y + 1=0 lies in the

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  11. The geometrical mean between the smallest and greatest distance of the...

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  12. The length of the longest ray drawn from the point (4,3) to the circle...

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  13. If y pm a =0 is a pair of tangents to the circle x ^(2) + y ^(2) =a ^...

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  14. The circle x ^(2) + y ^(2) =9 is contained in the circle x ^(2) + y ^(...

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  15. The line (x-1) cos theta + (y-1) sin theta =1, for all values of theta...

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  16. Equation of the circle which cuts each of the circles x ^(2) + y ^(2) ...

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  17. The point at which the circle x ^(2) + y ^(2) + 2x + 6y + 4=0 and x ^(...

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  18. Find the equation of a circle which passes through the point (2,0) ...

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  19. If the limiting points of the system of circles x ^(2) + y ^(2) + 2gx+...

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  20. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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