Home
Class 12
MATHS
Let C be the set of curves having the pr...

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0)
If `C_(3) in C`
`C_(3):` is passing through (2,4). If `(x)/(a)+(y)/(b)=1.` is tangent to `C_(3)`, then

A

`25a+10b^(2)-ab^(2)=0`

B

`25a+10b-13ab=0`

C

`13a+25b-16ab=0`

D

`29a+b-13ab=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|2 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|8 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0) If C_(1),C_(2) in C C_(1): Curve is passing through (1,0) C_(2): Curve is passing through (-1,0) The number of common tangents for C_(1) and C_(2) is

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0) If common tangents of C_(1) and C_(2) form an equilateral triangle, where C_(1),C_(2) in C and C_(1): Curve passes through f(2,0), then C_(2) may passes through

Find the curve for which any tangent intersects the y-axis at the point equidistant from the point oftangency and the origin.

Determine the point on y-plane which is equidistant from points A(2,0,3),b(0,3,2) and C(0,0,1) .

The tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point:

If the eccentricity of the curve for which tangent at point P intersects the y-axich such that the point of tangency is equidistant from M and the origin is e, then the value of 5e^(2) is

The point on y axis equidistant from B(4,3) and C(4,-1) is:

The equation of the locus of points which are equidistant from the points (2,-3) and (3,-2) is (A) x+y=0 (B) x+y=7 (C) 4x+4y=38 (D) x+y=1

Find the coordinates of the points on the curve y=x^(2)+3x+4, the tangents at which pass through the origin.