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If f(x) is continuous at x=0 then xf(x) ...

If `f(x)` is continuous at `x=0` then `xf(x)` is differentiable at `x=0` . By changing origin we can say that if `f(x-a)` is continuous at `x=a` then `(x-a)f(x-a)` is differentiable at `x=a` The number of points where `f(x)=(x-3)|x^2-7x+12|+"cos"|x-3|` is not differentiable is 1 (b) 2 (c) 3 (d) infinite

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

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  3. If f(x) is continuous at x=0 then xf(x) is differentiable at x=0 . By ...

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  4. STATEMENT-1 : The graph of y=[sqrt(1-cos2x)] consists of only two line...

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  5. If z0=alpha+ibeta,i=sqrt(-1) , then roots of the equation x^3-2(1+...

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  6. Leg f(x)=|x|,g(x)=sin xa n dh(x)=g(x)f(g(x)) then h(x) is continuous b...

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  7. The number of values of x in the interval 0,5pi satisfying the equatio...

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  8. If z1a n dz2 are two complex numbers satisfying |z-4|=R e(z) and havin...

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  9. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

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  10. If omega is a complex number such that |omega|=r!=1 , and z=omega+1/om...

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  11. The equation 2log(x+3)=log(alphax) has only one solution if

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  12. If 4^(sin2x+2cos^(2)x)+4^(1-sin2x+2sin^(2)x)=65 ,then(sin2x+cos2x) has...

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  13. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

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  14. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2...

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  15. If (x^2-7|x|+10)/(x^2-6x+9)<0 then x can belongs to a(-5,-2) b.(2,3...

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  16. (lim)(xvecoo)((a x+3)/(b x+2))^(bx) is equal to ( a and b are positive...

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  17. If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+al...

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  18. The graphs of y=sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the s...

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  19. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

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  20. If m and n are the smallest positive integers satisfying the relations...

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