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Two straight lines are perpendicular to each other. One of them touches the parabola `y^(2) =4a ( x+a) `, and the other touches `y^(2) =4b (x+ b) . ` Then locus of point of intersection of two lines is

A

`x+a=0 `

B

`x+ b=0 `

C

` x+a+b=0 `

D

` x-a -b=0 `

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. Point of contact of the line kx + y-4 =0, w.r.t. the parabola y=x -x^...

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  2. P and Q are two points on the parabola ( y-2) ^(2) =(4-3) . The normal...

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  3. Two straight lines are perpendicular to each other. One of them touche...

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  4. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  5. Assertion (A) : The least length of the focal chord of y^(2) =4ax is...

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  6. Assertion (A) : Orthocentre of the triangle formed by any three tangen...

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  7. Show that length of perpendecular from focus 'S' of the parabola y^(2)...

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  8. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

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  9. Prove that the orthocentre of the triangle formed by any three tangent...

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  10. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

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  11. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

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  12. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  13. If two of the three feet of normals drawn from a point to the parabola...

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  14. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

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  15. The locus of middle points of normal chords of the parabola y^(2) = 4...

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  16. If the normals at P and Q meet again on y^(2) =4ax at R then centro...

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  17. If the normal to y^(2) =4ax at t1 cuts the parabola again at t2 th...

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  18. Point of concurrence of the normals drawn at (2,8) , (128,64) , (162, ...

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  19. If ( x1, y1) , (x2, y2) ,(x3y3) are feet of the three normals drawn f...

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  20. If two normals drawn to the y^(2) =8x at ( 2,4) and (18, 12) intersec...

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