Which of the following equations represents a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The general equation of a pair of straight lines passing through the origin is given by $ax^2 + 2hxy + by^2 = 0$. The lines are perpendicular if t

Vedclass · Accepted Answer

$2{x^2} = 2y(2x + y)$

Vedclass · Answer

(A) The general equation of a pair of straight lines passing through the origin is given by $ax^2 + 2hxy + by^2 = 0$. The lines are perpendicular if the sum of the coefficients of $x^2$ and $y^2$ is zero,i.e.,$a + b = 0$. For option $A$: $2x^2 = 4xy + 2y^2 \Rightarrow 2x^2 - 4xy - 2y^2 = 0$. Here,$a = 2$ and $b = -2$. Since $a + b = 2 + (-2) = 0$,the lines represented by this equation are perpendicular to each other.

Which of the following equations represents a pair of straight lines perpendicular to each other?

Similar Questions

If the pair of lines given by $(x \cos \alpha + y \sin \alpha)^2 = (x^2 + y^2) \sin^2 \alpha$ are perpendicular to each other,then $\alpha$ is

The lines $ax^2+2hxy+by^2=0$ are at right angles if

If the angle between the lines represented by the equation $y^2 + kxy - x^2 \tan^2 A = 0$ is $2A$,then $k =$

The angle between the straight lines $x^2+4xy+y^2=0$ is....... (in $^{\circ}$)

The acute angle between the lines $6x^2 + 11xy - 10y^2 = 0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module