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$$\text{The inverse matrix of } \begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix} \text{ is}$$
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The sum of three numbers in AP is 15. If 1, 4, 19 are added to them respectively, the numbers are in GP. Then the numbers are
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$$\text{The point of inflection of the function } f(x) = x^3 – 6x^2 + 9x + 12 \text{ is at } x =$$
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$$\int \sin x \, dx =$$
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$$\int \sin x \, dx =$$
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$$\text{The area bounded by the curve } y = 2x – x^2 \text{ and the x-axis is}$$
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$$\text{For a given angle } x \text{, } \sin^{-1}\frac{1}{x} \text{ is equal to}$$
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$$\text{If } 2\cos x – 1 = 0 \text{ then for } n \in \mathbb{Z}, \ x =$$
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For what value of k, the points (2,1), (5,4) and (k,7) are collinear?
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The equations of straight lines cutting off an intercept −1 from the y axis and being equally inclined to the axes are
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