• NCERT Chapter

## Recently Viewed Questions of Class 12th mathematics

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Let A = R – {3} and B = R – {1}. Consider the function  f : A → B defined by

. Is f one-one and onto? Justify your answer.

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If a line has the direction ratios −18, 12, −4, then what are its direction cosines?

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Find gof and fog, if

(i) f(x) = | x | and g(x) = | 5x – 2 |
(ii) f(x) = 8x3 and g(x) = x1/3 .

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Let f: X → Y be an invertible function. Show that the inverse of f –1 is f, i.e., (f–1)–1 = f.

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If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines.