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The equation of the common tangent to th...

The equation of the common tangent to the curve `y^2=-8x` and `xy=-1` is

A

`3y=9x+2`

B

`y=2x+1`

C

`2y=x+8`

D

`y=x+2`

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
  1. If P, Q, R are three points on a parabola y^2=4ax whose ordinates are ...

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  2. The locus of the mid-point of the line segment joning the focus to a m...

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  3. The equation of the common tangent to the curve y^2=-8x and xy=-1 is

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  4. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

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  5. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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  6. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  7. The point of intersetion of the tangents to the parabola y^2=4x at the...

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  8. Equation of the directrix of the parabola y^(2)+4x+2=0 is

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  9. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

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  10. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

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  11. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

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  12. If the focus of a parabola divides a focal chord in segments of lengt...

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  13. P is a point on the parabola whose ordinate equals its abscissa. A nor...

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  14. the equation of the parabola whose focus is the point (0,0) and the ta...

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  15. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

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  16. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  17. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  18. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  19. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  20. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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