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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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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. A curve C has the property that if the tangent drawn at any point 'P' ...

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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. The normal line to a given curve at each point (x,y) on the curve pass...

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  5. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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

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  7. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

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  8. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

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  9. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

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  10. The general solution of the differential equation x^2 y dx - (x^3 + y^...

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  11. The solution of the differential equation xy' = 2xe^(-y//x) + y is

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

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  13. The solution of (dy)/(dx) = (x + y +1)/(x + y -1) is

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  14. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

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

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  16. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

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  17. The general solution of (y^(5)+x)(dy)/(dx) = y is

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

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  19. The solution of cos x(dy)/(dx) + y = sin x is

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  20. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

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