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Tangent is drawn to parabola `y^(2)-2y-4x+5=0` at a point P which cuts the directrix at the point Q. A point R is such that it divides QP externally in the ratio 1/2:1. Find the locus of point R

A

`(x+1)(y-1)^2+4=0`

B

`(x+1)(y-1)^2-4=0`

C

`(y+1)(x-1)^2+2=0`

D

`(y-1)(x+1)^2+3=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  2. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  3. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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  4. about to only mathematics

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  5. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  6. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

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  7. The angle between the tangents drawn from the point (1, 4) to the p...

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  8. about to only mathematics

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  9. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

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  10. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  11. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  12. The point of intersection of the tangents at the ends of the latus ...

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

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  14. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  15. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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  16. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  17. The locus of the foot of perpendicular drawn from the centre of the...

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  18. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  19. The line passing through the extremity A of the major exis and extremi...

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  20. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

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