Determinant Form of a Line

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$

Q. Acute angle bwtween the lines $ax+by+c=0$ and $x\cos \theta +y\sin \theta =c(c\ne 0)$ is ${45}^{\circ }.$ If both the lines meet with the line $y\cos \theta =x\sin \theta$ at same point, then the value of $a^2+b^2$ is

1. $2$
2. $1$
3. $4$
4. $3$