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If g(x) = {{:((1+a^(x).x.log a - a^(x))/...

If `g(x) = {{:((1+a^(x).x.log a - a^(x))/(a^(x).x^(2))",","for",x lt 0),((2^(x).a^(x)-x log 2 - x log a - 1)/(x^(2))",","for",x gt 0):}` where `a lt 0`, then a for which g(x) is continuous, is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Which of the following is/are correct? (a)If vec a= hat i+ hat j and ...

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  2. Suppose a1, a, are real numbers, with a1!=0. If a1, a2,a3, are in A....

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  3. If g(x) = {{:((1+a^(x).x.log a - a^(x))/(a^(x).x^(2))",","for",x lt 0)...

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  4. A triangle has two of its sides along the lines y=m1x&y=m2x where m1, ...

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  5. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  6. The number of integral values of m for which the x-coordinate of the p...

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  7. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

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  8. Tangent and normal to the curve y=2sin x+sin2x are drawn at p(x=pi/3) ...

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  9. Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(...

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  10. The curve y=x^3+x^2-x has two horizontal tangents. The distance betwee...

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  11. f(x)=sqrt(x^(12)-x^(9)+x^(4)-x+1)

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  12. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

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  13. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

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  14. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

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  15. Let A =[[1,2,2],[2,1,2],[2,2,1]], then

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  16. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

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  17. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

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  18. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

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  19. The algebraic sum of perpendicular distances from A(x(1),y(1)), B(x(2)...

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  20. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

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