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The curve in the first quadrant for whic...

The curve in the first quadrant for which the normal at any point `(x , y)` and the line joining the origin to that point form an isosceles triangle with the x-axis as base is (a) an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

A

an ellipse

B

a rectangular hyperbola

C

a circle

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. about to only mathematics

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  2. The curve for which the slope of the tangent at any point is equal to ...

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  3. The curve in the first quadrant for which the normal at any point (...

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  4. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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  5. The differential equation of all ellipses centred at the origin is

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  6. The differential equation of the curve for which the initial ordina...

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  7. The equation of the curve whose subnormal is constant is

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  8. The degree of the differential equation y(3)^(2//3)+2+3y(2)+y(1)=0, ...

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  9. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

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  10. The order of the differential equation whose general solution is gi...

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  11. The equation of the curve satisfying the differential equation y^2 (x^...

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  12. A differential equation associated to the primitive y=a+b e^(5x)+c ...

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  13. Write the order of the differential equation associated with the pr...

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  14. Obtain the differential equation of the family of circles passing thro...

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  15. The solution of the differential equation y(1)y(3)=3y(2)^(2), is

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  16. The degree and order of the differential equation of all parabolas who...

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  17. The differential equation of all parabolas whose axis are parallel t...

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  18. The equation of the curve which is such that the portion of the axi...

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  19. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola when

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  20. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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