The family of lines (2 cos theta + 3 sin...

The family of lines `(2 cos theta + 3 sin theta) x + (3 cos theta - 5 sin theta) y-(5 cos theta - 2 sin theta) = 0` is concurrent at `(x_1, y_1)` and the family of lines `(a+2b) x+(a-3b) y+b-a=0` for different values of `a and b` is concurrent at `(x_2, y_2)` then : (A) `x_2 + y_2 = x_1` (B) `x_2 + y_2 = y_1` (C) `6x_2 + y_2 = 2x_1 + y_1` (D) none of these

AI Generated Solution

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

If cot theta = (x)/(y) , find the value of: " " ( x cos theta + y sin theta)/( y sin theta - x cos theta)

Eliminate theta from a sin theta + bcos theta = x "and" a cos theta -b sin theta = y

If x = 3 cos theta - 2 cos^3 theta,y = 3 sin theta - 2 sin^3 theta , then dy/dx is

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

if theta is a parameter then x=a ( sin theta + cos theta), y=b( sin theta - cos theta ) respresents

If x= a sin 2theta (1+ cos 2theta) , y= b cos 2theta(1- cos 2theta) , then (dy)/(dx) =

Eliminate theta from the following equation : x cos theta - y sin theta = a, x sin theta + y cos theta = b

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is