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Let AB be a chord of the circle x^2+ y^2...

Let AB be a chord of the circle `x^2+ y^2 = r^2` subtending a right angle at the centre. Then the locus of the centroid of the triangle PAB as P moves on the circle is :

A

a parabola

B

a circle

C

an ellipse

D

a pair of st. lines.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  2. The equation of the directrix of the parabola : y^2+ 4y + 4x+2=0 is:

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  3. Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angl...

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  4. Let PQ and RS be tangents at the extremities of the diameter PR or a c...

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  5. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

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  6. If agt2abgt0, then the positive value of m for which y=mx-bsqrt((1+m^(...

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  7. The locus of the mid-point of the line segment joining the focus to a ...

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  8. The area bounded by the curves : y=|x-1| and y=1 is :

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  9. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

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  10. If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets ...

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  11. A straight line through the origin O meets the parallel lines 4x + 2y ...

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  12. Let P=(-1,0) ,Q =(0,0) and R (3,3sqrt(3)) be three point . The equatio...

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  13. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

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  14. A triangle with vertices (2, 0), (- 1,- 1),(1,0) is :

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  15. The straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y - ...

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  16. A straight line through the point (2, 2) intersects the lines sqrt3x +...

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  17. Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...

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  18. The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...

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  19. Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

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  20. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

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