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The number of values of c such that the ...

The number of values of `c` such that the straight line `y=4x+c` touches the curve `(x^2)/4+(y^2)/1=1` is (a) 0 (b) 1 (c) 2 (d) infinite

A

0

B

1

C

2

D

Infinite

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  2. The parametric coordinates of a point on the ellipse, whose foci are (...

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  3. The number of values of c such that the straight line y=4x+c touches t...

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  4. The locus of mid points of parts in between axes and tangents of ellip...

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  5. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

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  6. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  7. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  8. Find the locus of the foot of the perpendicular drawn from the cent...

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  9. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

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  10. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

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  11. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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  12. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

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  13. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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  14. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

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  15. The co-ordinates of foci of an ellipse 3x^(2)+4y^(2)+12x+16y-8=0 is :

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  16. If the line joining foci subtends an angle of 90^(@) at an extremity ...

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  17. In an ellipse the distance between the foci is 8 and the distance betw...

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  18. The area (in sq units) of the quadrilateral formed by the tangents at ...

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  19. The tangent at any point on the ellipse 16x^(2)+25y^(2) = 400 meets th...

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  20. If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6, then the locu...

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