Vinod Singh and Shweta Pawar Solutions for Chapter: Pair of Straight Lines, Exercise 4: Evaluation Test

The equation $4x^2+12xy+9y^2+2gx+2fy+\mathrm{c}=0$ will represent two real parallel straight lines, if

The value of $\lambda$ for which the equation $x^2-y^2-x-\lambda y-2=0$ represents a pair of straight lines are

Equation of a pair of straight lines drawn through $\left(1,1\right)$ and perpendicular to the pair of lines $3x^2-7xy+2y^2=0$ is

The joint equation of the straight lines $x-y=1$ and $2x+y=6$ is

If the equation $2x^2+2hxy+3y^2=0$ has one line as bisector of angle between the co-ordinate axes, then $h=$

If the equation $3x^2-2y^2+\mathrm{\lambda }xy-x+5y-2=0$ represents a pair of straight lines, then $\lambda =$

If one of the lines given by the equation $2x^2+axy+3y^2=0$ coincide with one of those given by $2x^2+bxy-3y^2=0$ and the other lines represented by them be perpendicular, then

Acute angle between the lines represented by $3x^2-48xy+23y^2=0$ is