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The equation of the curve in which the p...

The equation of the curve in which the portion of the tangent included between the coordinate axes is bisected at the point of contact, is

A

a parabola

B

an ellipse

C

a circle

D

a hyperbola

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The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -EVALUATION TEST
  1. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

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  2. The degree of the differential equation (d^3y)/(dx^3)+x((dy)/(dx))^4 =...

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  3. The equation of the curve in which the portion of the tangent included...

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  4. The degree of the differential equation satisfying the relation sqrt(1...

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  5. The solution of the differential equation (dy)/(dx)=y/x+(f(y/x))/((f')...

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  6. The solution of (dy)/(dx)+yf'(x)-f(x).f'(x)=0,y!=f(x) is

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  7. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

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  8. The solution of dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given b...

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  9. The solution of the differential equation xdx+ydy+(xdy-ydx)/(x^(2)+y^(...

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  10. The solution of the differential equation 2x^2y"dy"/"dx"=tan(x^2y^2) ...

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  11. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

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  12. The general solution of the differential equation (dy)/(dx) = y tan x ...

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  13. The equation of the curve satisfying the eqution (xy=x^(2)) (dy)/(dx)...

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  14. Solution of the equation (dy)/(dx)=e^(x-y)(1-e^y) is

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  15. The x-intercept of the tangent to a curve is equal to the ordinate of ...

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  16. The differential equation (dy)/(dx)=sqrt(1-y^(2))/(y) determines a fam...

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  17. Which one of the following functions is not homogeneous ?

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  18. A curve passes through (1,pi/4) and at (x,y) its slope is (sin 2y)/(x+...

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  19. The equation of the family of curves which intersect the hyperbola xy-...

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  20. Find the equation of a curve passing through (0,1) and having gradient...

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