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

The minimum area of the triangle formed by the variable line `3cos theta x+4sin thetay=12` and co-ordinate axes is :

A

144

B

`(25)/(2)`

C

`(49)/(4)`

D

12

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

The minimum area of the triangle formed by the variable line 3 cos theta.x +4 sin theta.y=12 and the co-ordinate axes is

Area of the triangle formed by the normal to the curve x = e^(sin y) at (1,0) with the coordinate axes is

x = a cos theta, y = b sin theta .

If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 is drawn through the given point P(alpha, beta) , then the least area of the triangle formed by this line and the co-ordinate axes is :

The incentre of the triangle formed by the axes and the line (x)/(4)+(y)/(3)=1 is

The minimum value of sin theta . cos theta is

The area of the triangle formed by the lines x=0, y=0 and 3 x+4 y=12 is (in square units)

The area of the triangle formed by the coordinate axes and the line 4 x+5 y=20 is (in square units)

The centroid of a triangle formed by the points (0, 0), (cos theta, sin theta) and (sin theta, -cos theta) lies on the line y=2x . Then theta is :

The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the point (1, 1) and the co-ordinate axes, lies in the first quadrant. If its area is 2, then the value of b is :