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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 between the coordinate axes is bisected at the point of contact is a/an-

A

ellipse

B

rectangular hyperbola

C

hyperbola

D

parabola

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The correct Answer is:
B
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Find the eqution of the curve in which the portion of the tangent between the coordinate axes is bisected at the point of contact.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

In the curve x^(m)y^(n)=k^(m+n)(m,n, k gt0) prove that the portion of the tangent intercepted between the coordinate axes is divided at its point of contact in a constant ratio,

Find the equation of the curve whose length of the tangent at any point on ot, intercepted between the coordinate axes is bisected by the point of contact.

In the curve x^a y^b=K^(a+b) , prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

In a hyperbola, the portion of the tangent intercepted between the asymptotes is bisected at the point of contact. Consider a hyperbola whose center is at the origin. A line x+y=2 touches this hyperbola at P(1,1) and intersects the asymptotes at A and B such that AB = 6sqrt2 units. The equation of the tangent to the hyperbola at (-1, 7/2) is

In a hyperbola, the portion of the tangent intercepted between the asymptotes is bisected at the point of contact. Consider a hyperbola whose center is at the origin. A line x+y=2 touches this hyperbola at P(1,1) and intersects the asymptotes at A and B such that AB = 6sqrt2 units. The equation of the tangent to the hyperbola at (-1, 7//2) is

In a hyperbola, the portion of the tangent intercepted between the asymptotes is bisected at the point of contact. Consider a hyperbola whose center is at the origin. A line x+y=2 touches this hyperbola at P(1,1) and intersects the asymptotes at A and B such that AB = 6sqrt2 units. The equation of the pair of asymptotes is

Show that the length of the tangent to the curve x^(m)y^(n)=a^(m+n) at any point of it, intercepted between the coordinate axes is divided internally by the point of contact in the ratio m:n.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

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  2. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

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  3. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

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  4. The equation of the curve in which the portion of the tangent between...

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  5. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

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  6. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

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  7. The minimum value of (1)/(2)(7-cos2x) is -

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  8. If g(x)=min(x, x^(2)) where x is a real number then -

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  9. The value of a so that the sum of the squares of the roots of the equ...

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  10. Twenty metres are available to fence a land in the form of a circular...

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  11. Area ( in square unit) of the greatest rectangle that can be inscribe...

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  12. The point on the parabola 2y=x^(2), which is nearest to the point (0,...

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  13. Let f(x) be a differentiable function. If h(x)=(1)/(3) {f(x)}^(3)+{f...

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  14. What is the value of b for which the function f(x)=sinx-bx+c is decre...

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  15. The radius of a circular plate is increasing at the rate of 0.01 cm/s ...

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  16. A spherical balloon is being inflated at the rate of 35 cm^(3)/min. Th...

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  17. Electric current C, measured by a galvanometer, is given by the equati...

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  18. The value of Var (4x+3) is

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  19. If the side of an equilateral triangle increases at the rate of sqrt(3...

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  20. If y=3x^(2)+2 and if x changes from 10 to 10.1, then the approximate ...

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