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For the following questions answer them individually
$$\sin 83^\circ \cos 53^\circ - \cos 83^\circ \sin 53^\circ =$$
If $$180^\circ < A < 270^\circ, 90^\circ < B < 180^\circ, \tan A = \sqrt{3}$$ and $$\sin B = \frac{\sqrt{3}}{2}$$, then the value of $$\sin(A - B)$$
The slope of the line $$\frac{3x + 5}{4y - 7} = \frac{1}{2}$$ is
The Y-intercept of the line $$\frac{3y - 7}{4} = \frac{4x + 1}{5}$$ is
$$\frac{4 \cosec 150^\circ + 3 \sec^2 210^\circ}{5 \tan 225^\circ + 6 \cot^2 330^\circ} =$$
A person on walking 20 metres towards a chimney in a horizontal line through its base observes that its angle of elevation of the top of the chimney changes from $$30^\circ$$ to $$45^\circ$$. Then the height(in metres) of the chimney is
The remainder when $$91 \times 93 \times 95 \times 97$$ is divided by 18 is
A polynomial in x leaves remainders 2 and 3 when divided by x + 1 and x - 1 respectively. Then the remainder we get when that polynomial is divided by $$x^2 - 1$$ is
The $$11^{th}$$ term of the series 81, 27, 9, ........ is
The sum of first 12 terms of the series 5, 3, 1, -1, ..... is
Day-wise Structured & Planned Preparation Guide
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