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If the normals to the parabola y^2=4a x ...

If the normals to the parabola `y^2=4a x` at `P` meets the curve again at `Q` and if `P Q` and the normal at `Q` make angle `alpha` and`beta` , respectively, with the x-axis, then `t a nalpha(tanalpha+tanbeta)` has the value equal to 0 (b) `-2` (c) `-1/2` (d) `-1`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

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  2. If two normals to a parabola y^2 = 4ax intersect at right angles then ...

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  3. If the normals to the parabola y^2=4a x at P meets the curve again at ...

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  4. If a leaf of a book is folded so that one corner moves along an opp...

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  5. A parabola of latus rectum l touches a fixed equal parabola. The axes ...

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  6. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

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  7. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  8. Two lines are drawn at right angles, one being a tangent to y^2=4a x a...

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  9. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

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  10. Find the range of parameter a for which a unique circle will pass thro...

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  11. Find the radius of the largest circle, which passes through the focus ...

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  12. A tangent is drawn to the parabola y^2=4a x at P such that it cuts the...

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  13. Tangents are drawn to the parabola at three distinct points. Prove tha...

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  14. Statement 1: The circumcircle of a triangle formed by the lines x=0...

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  15. Statement 1: The point of intersection of the tangents at three dis...

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  16. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

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  17. Statement 1: Normal chord drawn at the point (8, 8) of the parabola...

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  18. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

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  19. Statement 1: If there exist points on the circle x^2+y^2=a^2 from whic...

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  20. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

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