Class 11MathematicsPair of straight linesAngle between the pair of straight lines, Condition for parallel and perpendicular lines
EasyThe equation $12x^{2}+7xy+ay^{2}+13x-y+3=0$ represents a pair of perpendicular lines. Then the value of $a$ is
- A$7/2$
- B$-19$
- C$-12$
- D$12$
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Similar Questions
The angle between the pair of lines represented by $x^2 + 2xy - y^2 = 0$ is:
Easy
View SolutionIf the equation $x^{2}-3xy+\lambda y^{2}+3x-5y+2=0$ represents a pair of lines,where $\lambda$ is a real number and $\theta$ is the angle between them,then the value of $\operatorname{cosec}^{2} \theta$ is
DifficultMHT CET 2020
View SolutionIf the pair of lines given by $(x^2+y^2) \cos^2 \theta = (x \cos \theta + y \sin \theta)^2$ are perpendicular to each other,then $\theta$ is equal to
If $\varphi$ is the angle between the lines $a x^{2}+2 h x y+b y^{2}=0$,then the angle between the lines $x^{2}+2 x y \sec \theta+y^{2}=0$ is
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