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If the tangents and normals at the extremities of a focal chord of a parabola intersect at `(x_1,y_1)` and `(x_2,y_2),` respectively, then `x_1=y^2` (b) `x_1=y_1` `y_1=y_2` (d) `x_2=y_1`

A

`x_(1)=x_(2)`

B

`x_(1)=y_(2)`

C

`y_(1)=y_(2)`

D

`x_(2)=y_(1)`

Text Solution

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The correct Answer is:
C
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MOTION-PARABOLA-EXERCISE - II
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  2. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  4. The equation of a straight line passing through the point (3, 6) and c...

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  5. T is a point on the tangent to a parabola y^(2) = 4ax at its point P. ...

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  7. The straight line joining any point P on the parabolay^2=4ax to the ve...

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  8. The tangent and normal at P(t), for all real positive t, to the parabo...

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

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  11. Let A be the vertex and L the length of the latus rectum of the parabo...

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  12. The parametric coordinates of any point on the parabola y^(2) = 4ax ca...

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  13. The locus of the mid point of the focal radi of a variable point movin...

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  14. Two parabolas have the same focus. If their directrices are the x-axis...

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  15. The length of the chord of the parabola y^(2) = x which is bisected at...

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  16. Tangent to the parabola y^(2) = 4ax at point P meets the tangents at v...

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  17. A variable circle is described to passes through the point (1, 0) and ...

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