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Let f : R rarr RR be defined by f(x) = x...

Let `f : R rarr RR` be defined by `f(x) = x^(2) - (x^(2))/(1+x^(2))` for all `x in RR`. Then

A

f is one-one but not onto mapping

B

f is not onto but not one-one mapping

C

f is both one-one and onto

D

f is neither one-one nor onto

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
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  2. Let P and T be the subsets of X-Y defined by P = {(x, y): x gt 0, y...

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  3. Let f : R rarr RR be defined by f(x) = x^(2) - (x^(2))/(1+x^(2)) for a...

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  4. Let the relation rho be defined on R as a rho b iff 1+a b gt 0. Then

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  5. A problem in mathematics is given to 4 students whose chances of solvi...

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  6. If X is a random variable such that sigma(X) = 2.6, then sigma(1-4X) i...

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  7. If e^(sin x) - e^(-sin x) - 4 = 0, then the number of real values of x...

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  8. The angles of a triangles are in the ratio 2:3:7 and the radius of the...

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  9. A variable line passes through a fixed point (x(1), v(1)) & meets the ...

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  10. A straight line through the point (3, -2) is inclined at an angle 60^(...

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  11. A variable line passes through the fixed point (alpha, beta). The locu...

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  12. If the point of intersection of the lines 2ax + 4ay + c = 0 and 7bx + ...

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  13. A variable circle passes through the fixed point A(p, q) and touches x...

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  14. If P(0, 0), Q(1, 0) and R((1)/(2), (sqrt(3))/(2)) are three given poin...

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  15. For the hyperbola (x^(2))/(cos^(2) alpha) - (y^(2))/(sin^(2) alpha) = ...

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  16. S and T are the foci of an ellipse and B is the end point of the minor...

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  17. The equation of the directrices of the hyperbola 3x^(2) - 3y^(2) - 18x...

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  18. P is the extremity of the latusrectum of ellipse 3x^(2) + 4y^(2) = 48 ...

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  19. The direction ratios of the normal to the plane passing through the po...

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  20. The equation of the plane, which bisects the line joining the points (...

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