Dr. SK Goyal Solutions for Chapter: Pair of Straight Lines, Exercise 8: Multiple Choice I

Number of points lying on the line $7x+4y+2=0$ which is equidistant from the lines $15x^2+56xy+48y^2=0$ is:

Distance between the parallel lines $4x^2+20xy+25y^2+2x+5y-12=0$ is :

Orthocentre of the triangle formed by the lines $xy-3x-5y+15=0$ and $3x+5y=15$ is :

Equation of pair of lines passing through origin and point of intersection of $x^2+2y^2=4$ and $x+y=1$ is :

The point of intersection of the two lines given by $2x^2-5xy+2y^2-3x+3y+1=0$ is:

If $x^2-3xy+\lambda y^2+3x-5y+2=0$ represents a pair of straight lines and $\theta$ is the angle between them, then ${cosec}^2\theta$ is equal to :

The diagonal of the rectangle formed by the lines $x^2-7x+6=0$ and $y^2-14y+40=0$ is :

If $\alpha ,\beta >0$ and $\alpha <\beta$ and $\alpha x^2+4\gamma xy+\beta y^2+4p\left(x+y+1\right)=0$ represents a pair of straight lines, then :