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If lim(x to 1)(sin(3x^2+x-4)-x^2+1)/(2x^...

If `lim_(x to 1)(sin(3x^2+x-4)-x^2+1)/(2x^3-7x+ax+b)=-2` , then the value of `b-a` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The slope of tangent at a point (x,y) to the curve y=f(x) is equal to ...

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  2. If z=x+iy is a complex number satisfies barz=iz^2+z-i then sum of squa...

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  3. If lim(x to 1)(sin(3x^2+x-4)-x^2+1)/(2x^3-7x+ax+b)=-2 , then the value...

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  4. (abs(z-2) le 1 , z(i+1)+barz(1-i) le 2) and abs(z-2i) attains maximum ...

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  5. Find the mirror image of 2,4,7) in the plane 3x-y+4z=2

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  6. If abs(veca)=abs(vecb)=2 & abs(veca+ vecb)=2abs(veca-vecb). Find the a...

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  7. x dy/dx-y=sqrt(y^2+16x^2) , y(1)=3 Find y(2)

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  8. int0^5cos pi(x-[x/2])dx=

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  9. A wire of length 22cm is given. If it is cut into 2 pieces and maded a...

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  10. Domain of cos^-1(2sin^-1 (1/(4x^2-1))/pi) is

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  11. A=[a(ij)](3xx3), where a(ij)=2^(j-i) where, i,j in {1,2,3}, then the v...

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  12. Find the area bounded by the curves y^2=8x , y=2sqrt2x outside the tri...

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  13. If (p vv q) triangle (p wedge q implies q) is tautology, then what is ...

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  14. The number of solutions of equation 2 theta -cos^2 theta + sqrt2=0 is

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  15. a0=a1=0 , a(n+2)=2a(n+1)-an+1 , n ge 0 then sum(n=2)^oo an/7^n is equa...

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  16. A tangent is drawn to x^2+y^2=2 at P(1,-1). This tangent intersects th...

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  17. Given line y=2 , two points A and A' lie on this line .B (2,3) is such...

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  18. The probability of making a singular matrix 2xx2 taking elements from ...

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  19. If alpha and beta are the roots of the equation x^2+2i-1=0, then the v...

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  20. The constant term in the expansion of (3x^3+2x^2-5/x^5)^10 is

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