Home
Class 12
MATHS
The minimum area of the triangle formed ...

The minimum area of the triangle formed by the tangent to `(x^2)/(a^2)+(y^2)/(b^2)=1` and the coordinate axes is

A

ad sq units

B

`(a^(2)+b^(2))/2` sq units

C

`(a+b)^(2)/2` sq units

D

`(a^(2)+ab+b^(2))/3` sq units

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.

If tangent and normal to the curve y=2sinx+sin2x are drawn at p(x=(pi)/(3)) , then area of the quadrilaterial formed by the tangent, the normal at p and the cordinate axes is

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

Find the equation of the tangent to the curve x^2/a^2-y^2/b^2=1 at the point (x_1,y_1)

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the line x/a+y/b=1

Find the equation of the tangent to the curve (X^2)/(a^2) + (y^2)/(b^2) = 1 at (x_0.y_0)

The triangle formed by the normal to the curve f(x)=x^2-ax+2a at the point (2,4) and the coordinate axes lies in second quadrant, if its area is 2 sq units, then a can be

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)

Home
Profile