Class 11MathematicsPair of straight linesAngle between the pair of straight lines, Condition for parallel and perpendicular lines
EasyThe angle between the lines given by $x^2 - y^2 = 0$ is ..... $^o$.
- A$15$
- B$45$
- C$75$
- D$90$
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Similar Questions
If the pair of lines $ax^2 + 2(a + b)xy + by^2 = 0$ lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector,then:
DifficultAIEEE 2005
View SolutionFour different pairs of lines are given in List-$I$ and the cosine of the angle between every pair of lines is given in List-$II$. Match the following:
List-$I$ List-$II$ $(A)$ $5x^2 + 2\sqrt{7}xy - y^2 = 0$ $(I)$ $\frac{\sqrt{3}}{2}$ $(B)$ $x^2 + \sqrt{11}xy + 2y^2 = 0$ $(II)$ $\frac{1}{2\sqrt{3}}$ $(C)$ $x^2 + 2\sqrt{2}xy + y^2 = 0$ $(III)$ $\frac{1}{2}$ $(D)$ $3x^2 + 4\sqrt{2}xy + y^2 = 0$ $(IV)$ $\frac{2}{3}$ $(V)$ $\frac{1}{\sqrt{2}}$
The correct match is:
| List-$I$ | List-$II$ |
| $(A)$ $5x^2 + 2\sqrt{7}xy - y^2 = 0$ | $(I)$ $\frac{\sqrt{3}}{2}$ |
| $(B)$ $x^2 + \sqrt{11}xy + 2y^2 = 0$ | $(II)$ $\frac{1}{2\sqrt{3}}$ |
| $(C)$ $x^2 + 2\sqrt{2}xy + y^2 = 0$ | $(III)$ $\frac{1}{2}$ |
| $(D)$ $3x^2 + 4\sqrt{2}xy + y^2 = 0$ | $(IV)$ $\frac{2}{3}$ |
| $(V)$ $\frac{1}{\sqrt{2}}$ |
The correct match is:
The angle between the pair of lines represented by $x^2 + 2xy - y^2 = 0$ is:
Easy
View SolutionThe condition for the two lines represented by the equation $ax^2 + 2hxy + by^2 = 0$ to be perpendicular is:
Medium
View SolutionThe lines represented by $ax^2 + 2hxy + by^2 = 0$ are perpendicular to each other,if ........
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