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Find the point on the curve y^(2)=ax the...

Find the point on the curve `y^(2)=ax` the tangent at which makes an angle of `45^(@)` with the x-axis.

A

(a/2, a/4)

B

(-a/2, a/4)

C

(a/4, a/2)

D

(-a/4, a/2)

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whos...

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  2. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  3. Find the point on the curve y^(2)=ax the tangent at which makes an ang...

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  4. If 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, then lamda is

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  5. Find the angle at which the parabolas y^2=4x and x^2=32 y intersect.

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  6. The normal at (a,2a) on y^2 = 4ax meets the curve again at (at^2, 2at)...

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  7. If a chord which is normal to the parabola at one end subtend a right ...

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  8. Find the equations of the normals at the ends of the latus- rectum of ...

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  9. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

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  10. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

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  11. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  12. Find the angle between the tangents drawn from the origin to the pa...

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  13. The angle between the tangents drawn from the point (-a, 2a) to y^2=4a...

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  14. The angle between the tangents to the parabola y^2=4a x at the points ...

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  15. P(-3, 2) is one end of focal chord PQ of the parabola y^2+4x+4y=0. The...

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  16. If x=my+c is a normal to the parabola x^(2)=4ay, then the value of c, ...

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  17. Find the equations of the tangent to the given curve at the indicated...

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  18. The tangents at the points (at(1)^(2), 2at(1)), (at(2)^(2), 2at(2)) on...

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  19. If the vertex of the parabola y=x^(2)-8x+c lies on x-axis, then the va...

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  20. If the chord y = mx + c subtends a right angle at the vertex of the p...

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