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If `f(x),g(x),h(x)` are polynomials in `x` of degree `2` and `F(x)=|fghf'g' h 'f' 'g' ' h ' '|` , then `F^(prime)(x)` is equal to 1 (b) 0 (c) `-1` (d) `f(x)dotg(x)doth(x)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

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  3. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

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  4. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

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  5. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  6. Solve each of the following system of equations in Rdot |x-1|+|x-2...

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  7. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

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  8. If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e and f(x)=a0+a1x+a2x^3+ , then

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  9. The matrix A has x rows and (x+5) column. If the matrix B has y rows a...

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  10. If y=xln((a x)^(-1)+a^(-1)) prove that x(x+1)(d^2y)/(dx^2)+(dy)/(dx)=y...

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  11. If the solution of the equation |(x^4-9)-(x^2+3)|=|x^4-9|-|x^2+3| is ...

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  12. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

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  13. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

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  14. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

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  15. If y = f(x),has following graph Match the column by filling follo...

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  16. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

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  17. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

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  18. Line x/a+y/b=1 cuts the coordinate axes at A(a ,0)a n dB(0,b) and the ...

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  19. The vlaue of (81^((1)/(log(5)9))+3^((3)/(log(sqrt(6))3)))/(409)((sqrt(...

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  20. If a curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gra...

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