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The condition that the chord xcosalpha+y...

The condition that the chord `xcosalpha+ysinalpha=p=0` of `x^2+y^2-a^2=0` may subtend a right angle at the center of the circle is `a^2=2p^2` (b) `p^2=2a^2` `a=2p` (d) `c^2=a^2(2m+1`

A

`a^(2)=2p^(2)`

B

`p^(2)=2a^(2)`

C

`a=2p`

D

`p=2a`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  2. The distance between the chords of contact of tangents to the circle x...

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  3. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  4. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

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  5. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  6. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

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  7. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  8. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  9. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  10. Find the equation of the circle whose radius is 5a n d which touches t...

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  11. A B is a diameter of a circle and C is any point on the circle. ...

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  12. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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  13. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  14. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  15. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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  16. If the chord of contact of the tangents drawn from the point (h , k) t...

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  17. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  18. The equation of the circle which passes through (2a, 0) and has the ra...

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  19. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  20. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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