Angle between Pair of Straight Lines

Q.

If the lines $(p-q)x^2+2(p+q)xy+(q-p)y^2=0$ are mutually perpendicular, then

1. 

2. 

3. 

4. 

Q. (a) In the given figure, POQ is a line, then the value of 'x'is: [4 MARKS]



(b) In the figure below, x = ${30}^{\circ }$. The value of (6y – 3x) is ___.

Q.

If the acute angles between the pairs of lines $3x^2-7xy+4y^2=0$ and $6x^2-5xy+y^2=0$ be ${\theta }_1$ and ${\theta }_2$ respectively, then

1. 

2. 

3. 

4. None of these

Q.

If the angle between the lines represented by the equation $y^2+hxy-x^{2}ta{n}^{2}A=0$ be 2A, then k=

1. 0

2. 1

3. 2

4. 

Q.

If (a + 3b)(3a + b) = $4h^2$, then the angle between the lines represented by $a{x}^2+2hxy+b{y}^2=0$ is

1. ${60}^{\circ }$

2. ${45}^{\circ }$

3. ${60}^{\circ }$

4. ${\tan }^{-1}\frac{1}{2}$

Q. If in $a\Delta ABC,\Delta =a^2-(b-c{)}^2,$ then tan A is equal to

1. $15/16$
2. $8/15$
3. $8/17$
4. $1/2$

Q. What is the value of 7𝑎−4𝑏 when 𝑎 = 3 and 𝑏 = 2?

1. 13
2. 8
3. 32
4. 21

Q.

Find the acute angle (in degree) between the pair of straight lines $4x^2+14xy+6y^2=0$

__