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On the ellipse 4x^2+9y^2=1, the points a...

On the ellipse `4x^2+9y^2=1,` the points at which the tangents are parallel to the line `8x=9y` are (a) `(2/5,1/5)` (b) `(-2/5,1/5)` `(-2/5,-1/5)` (d) `(2/5,-1/5)`

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The angle between the normals of ellipse 4x^2 + y^2 = 5 , at the intersection of 2x+y=3 and the ellipse is (A) tan^(-1) (3/5) (B) tan^(-1) (3/4) (C) tan^(-1) (4/3) (D) tan^(-1) (4/5)

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...

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

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  3. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  4. Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80

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

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  6. For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a t...

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  7. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

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  8. Two straight lines rotate about two fixed points (-a,0) and (a,0) in a...

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  9. Statement 1 : There can be maximum two points on the line p x+q y+r...

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  10. Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

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  11. Statement 1 : Circles x^2+y^2=9 and (x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y...

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  12. If AOB and COD are two straight lines which bisect one another at righ...

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

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  14. Find the equation of hyperbola : Whose foci are (4, 2) and (8, 2) and ...

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

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  16. Two straight lines pass through the fixed points (+-a, 0) and have slo...

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  17. Each question has four choices: a, b, c and d, out of which only one i...

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  18. Find the lengths of the transvers and the conjugate axis, eccentricity...

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  19. Statement 1 : In a triangle A B C , if base B C is fixed and the perim...

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  20. In an ellipse, the sum of the distances between foci is always less ...

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