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Let f: Rvec[0,pi/2) be defined by f(x)=t...

Let `f: Rvec[0,pi/2)` be defined by `f(x)=tan^(-1)(x^2+x+a)dot` Then the set of values of `a` for which `f` is onto is `(0,oo)` (b) `[2,1]` (c) `[1/4,oo]` (d) none of these

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Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4,oo] (d) none of these

Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( 3x^(2) + 6x + a)". If " f(x) is an onto function . then the value of a si

Let f:(2,oo)to X be defined by f(x)= 4x-x^(2) . Then f is invertible, if X=

Let f:[4,oo)to[4,oo) be defined by f(x)=5^(x^((x-4))) .Then f^(-1)(x) is

The values of a for which the integral int_0^2|x-a|dxgeq1 is satisfied are (a) (2,oo) (b) (-oo,0) (c) (0,2) (d) none of these

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . The above function can be classified as :

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . The graph of y = f (x) is best represented by

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. vec axx( vec bxx vec c) , vec bxx( vec cxx vec a) and vec cxx( vec a...

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  2. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

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  3. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  4. e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (...

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  5. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

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  6. The solution set of equation 4sintheta.costheta -2costheta-2sqrt(3)sin...

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  7. The function f(x) = sin x-x cos x is: (A).maximum or minimum for a...

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  8. Statement-1 : If |x+3|+5=|x+8| then xgeq-3 Statement-2 : |a|+|b|=|a+b...

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  9. The differential coefficient of sin^(-1)t/(sqrt(1+t^2))w.r.t cos^(-1...

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  10. If x/y=(cos A)/(cos B)t h e n(x t a n A+y t a n B)/(x+y)= cot(A+B)/2 ...

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  11. If x^2+a x+10=0 and x^2+b x-10=0 have common root, then a^2-b^2 is equ...

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  12. If P(x) = ax^(2) + bx + c, and Q(x) = -ax^(2) + dx + c, ax ne 0 then p...

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  13. If f(x) = x^(11) + x^(9) - x^(7) + x^(3) + and f(sin^(-1) (sin 8))= al...

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  14. cos^(2)73^(@)+cos^(2)47^(@)-sin^(2)43^(@)+sin^(2)107^(@) is equal to

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  15. Find the equation of a straight lines which passes through the point (...

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  16. If f(x)=max{sinx ,sin^(-1)(cosx)}, then (a) f is differentiable everyw...

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  17. The equation of the circle whose diameter is the common chord of the ...

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  18. If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)e ...

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  19. The base BC of a triangle ABC is bisected at the point (p,q) and the e...

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  20. Let the centre of the parallelepiped formed by vec P A= hat i+2 hat j...

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