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Through the vertex O of the parabola y^2...

Through the vertex `O` of the parabola `y^2=4a x` , two chords `O Pa n dO Q` are drawn and the circles on OP and OQ as diameters intersect at `Rdot` If `theta_1,theta_2` , and `varphi` are the angles made with the axis by the tangents at `P` and `Q` on the parabola and by `O R ,` then value of `cottheta_1+cottheta_2` is

A

`-2tan phi`

B

`2tanphi`

C

0

D

`2cot phi`

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The correct Answer is:
A
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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
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  2. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  3. Evaluate int 23x^2 dx.

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  4. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  5. From a point (sintheta,costheta), if three normals can be drawn to the...

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  6. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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  7. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  8. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  9. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  10. Find the length of the side of an equilateral traingle inscribed in th...

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  11. Let C be a circle with center (0,1) and radius unity. P is the parabol...

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  12. Evaluate int 24x^2 dx.

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  13. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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  14. Evaluate int 25x^2 dx.

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  15. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  16. Evaluate int 26x^2 dx.

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  17. If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...

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  18. The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...

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  19. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

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  20. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

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