If the equation λx² – 5xy + 6y² + x -3y=0, represents a pair of straight lines, then their point of intersection is

If A and B are two square matrices such that B=A^-1 BA, then (A+B)² is equal to

The solution of y dx-x dy+log x dx=0 is

The solution of (12x+5y-9)dx+(5x+2y-4)dy=0 is

The solution of (x+y+1)dx+(3x+4y+4)dy=0 is

Solution of differential equation dy/dx = (1+y²) (1+x²)^-1is

The line 4x + 6y + 9=0, touches the parabola y²=4x at the point

The solution of 3e^xcos²ydx+(1-e^x)cot y dy=0 is

x²+y²=t+(1/t),x⁴+y⁴=t²+(1/t²)⇒x³y(dy/dx)=

The radius of the circle r²-2√2r(cos θ + sin θ)-5=0 is