PART - 1 CH - 2 Relations and Functions — MATHS STD 11 Science — Question

The locus of the point of intersection of lines $\text{x} \cos \text{a} + \text{y} \sin \text{a = a}$ and $\text{x} \sin \text{a - y} \cos \text{a = b}$ (a is a variable):

The distance between the foci of a hyperbola is 16 and its eccentricity is 2. Its equation is:

1. $\text{x}^2-\text{y}^2=32$

2. $\frac{\text{x}^2}{4}-\frac{\text{y}^2}{9}=1$

3. $2\text{x}-3\text{y}^2=7$

4. none of these.

1. q² − p²
2. p² − q²
3. p² + q²
4. None of these.

The value of $\tan75^\circ-\cot75^\circ$ is equal to: 

1. $2\sqrt{3}$

2. $2+\sqrt{3}$

3. $2-\sqrt{3}$

4. $1$

1. {f(x)}²
2. {f(x)}³
3. 2f(x)
4. 3f(x)