If A= [ cc & - & ] and A+A^ =1, where I is a unit matrix of order 2 2, then find the value of .

If A= [ cc & - & ] and A+A^ =1, where I is a unit matrix of order…

Describe the following sets in set-builder form:
D = {10, 11, 12, 13, 14, 15};

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Find the coordinates of the points which tisect the line segment joining the points P(4, 2, -6) and Q(10, -16, 6).

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Find the sum of the following arithmetic progression:
$(x - y)^2, (x^2 + y^2), (x + y)^2 ...$ to n terms.

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Find the equation of the line: passing through the points P(2, 1) and Q(2,-1)

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Find the domain and range of the following real valued functions:
$\text{f(x)}=\sqrt{\text{x}-3}$

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Prove that: $\cos\frac{7\pi}{12}+\cos\frac{\pi}{12}=\sin\frac{5\pi}{12}-\sin\frac{\pi}{12}$

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If $f(x)=\frac{x+3}{4 x-5}, g(x)=\frac{3+5 x}{4 x-1}$, then show that $(f \circ g)(x)=x$.

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Express the following complex numbers in the standard form a + ib:
$\frac{(2+\text{i})^3}{2+3\text{i}}$

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Express the following as a sum or difference of two trigonometric functions : $2 \cos 4 \theta \cos 2 \theta$

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Find the equation of circle touching the $\mathrm{Y}$-axis at point $(0,3)$ and whose Centre is at $(-3,3)$.

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