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If a function y=f(x) such that f'(x) is ...

If a function y=f(x) such that f'(x) is continuous function and satisfies
`(f(x))^(2)=k+underset(0)overset(x)int [{f(t)}^(2)+{f'(t)}^(2)]dt,k in R^(+) `, then

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RESONANCE DPP-JEE MAINS-All Questions
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  2. A square matrix M of order 3 satisfies M^(2)=I-M, where I is an identi...

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  3. If a function y=f(x) such that f'(x) is continuous function and satisf...

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  4. Let p : 7 is not greater than 4 and q : Paris is in France be two s...

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  5. Solution set of |x^2-4|lt=5-|x^2-9| is [-3,3] (2) [-3,-2]uu[2,3] [...

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  6. If vec A= hat i-3 hat j+4 hat k , vec B=6 hat i+4 hat j-8 hat k , vec...

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  7. let A ={{:({:(a(11),a(12)),(a(21),a(22)):}):a(ij){0,1,2} and a(11)=a(2...

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  8. For the system of equitions: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4 there i...

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  9. A conic passes through the point (2, 4) and is such that the segment o...

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  10. If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x...

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  11. If I1=int0^(3pi) f(cos^2x) dx and I2 =int0^pi f(cos^2x) dx then (a) I1...

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  12. If (3sqrt3 + 5)^7 = P + F where P is an integer and F is a proper frac...

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  13. A relation R on the set of complex numbers is defined by z1 R z2 if ...

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  14. The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,...

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  15. The degree of the differential equation ((d^2y)/(dx^2))^3+((dy)/(dx...

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  16. The equation of one of the curves whose slope of tangent at any point ...

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  17. The number of ordered pairs (m, n ,p) such that 2^m+ 2^n +2^p is div...

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  18. The number of tangents drawn from point (-5,3) to the hyperbola (x^2)/...

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  19. 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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  20. Let F(x) =int(sinx)^(cos x) e^((1+arcsin t)^2) dt on [0,pi/2] then(A)...

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