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The normal to a curve at P(x,y) meets th...

The normal to a curve at P(x,y) meets the x-axis at G. If the distance of G from the origin is twice the abscisa of P, then the curve is a

A

ellipse

B

parabola

C

circle

D

hyperbola

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The curve whose subtangent is twice the abscissa of the point of conta...

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  2. If the length of the subtangent at any point of a curve is constant , ...

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  3. The normal to a curve at P(x,y) meets the x-axis at G. If the distance...

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  4. Equation of the curve passing through the point (4,3) and having slope...

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  5. The slope of a curve at any point on it is the reciprocal of twice the...

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  6. The subnormal at any point of a curve is of constant length '8'. Then ...

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  7. The equation of curve passing through (1,3) whose slope at any point (...

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  8. The equation of curve passing through (0,1) which is a solution of dif...

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  9. The equation of curve passing through ( ) satisfying the differential ...

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  10. The equation of curve passing through (pi^2/4,1), which has a solution...

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  11. The solution of (x^(2) + y^(2)) dx = 2xy dy is

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  12. The solution of (dy)/(dx) = (xy)/(x^(2) + y^(2)) is

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  13. The solution of (dy)/(dx) = (2xy)/(x^(2) - y^(2)) is

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  14. The solution of (x^(2) - y^(2)) dx + 2xy dy = 0 is

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  15. The solution of (dy)/(dx) = (y + sqrt(x^(2) + y^(2)))/(x) is

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  16. The solution of x dy - y dx = sqrt(x^(2) + y^(2)) dx is

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  17. The solution of (dy)/(dx) = (y^(2) - 2xy)/(x^(2) - 2xy) is

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  18. The solution of (dy)/(dx) = (3x^(2)y - y^(3))/(3y^(2) x -x^(3)) is

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  19. The solution of the differential equation xy^(2) - (x^(3) + y^(3)) dx ...

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  20. The solution of (dy)/(dx) = (y^(2))/(xy - x^(2)) is

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