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The graph of function f1(x)={1,ifxlt=0x^...

The graph of function `f_1(x)={1,ifxlt=0x^2+1,if0

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  2. The interior angle bisector of angle P for the trangle P Q R whose coo...

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  3. The graph of function f1(x)={1,ifxlt=0x^2+1,if0<x<2,f2(x)=(log)(1/2)(x...

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  4. The set of solution of inequality [x]^2=-[x], where [.] denotes greate...

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  5. ("lim")(xvec0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the great...

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  6. The radius of the circle which touches the co-ordinates axes and the ...

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  7. Two vertices of a rectangle are on the positive x-axis. The other two ...

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  8. Equation of a circle of radius 2 and touching the circles x^2+y^2-4|x|...

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  9. If x is real and Delta(x)=|[x^2+x, 2x-1, x+3] , [3x+1, 2+x^2, x^2-3] ,...

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  10. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(...

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  11. Let f(x)={x^2-4x+3,x&lt;3 and x-4,xgeq3 }a n d g(x)={1,x&lt;1 and ...

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  12. The equation of perpendicular bisectors of the side AB and AC of a tri...

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  13. If vec a= vec b+ vec c , vec bx vec dC= vec0 and vec cdot vec d=0 th...

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  14. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

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  15. Let f(x)=max{|x^2-2|x| |, |x|} and g(x)=min{|x^2-2|x| |, |x|} then pro...

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  16. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

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  17. int(sinxcosx)/(sqrt(1-sin^4x)).dx

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  18. If A+B+C=pi , then the value of the determinant D=|sin^2AcotA1sin^2Bc...

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  19. lim(x->oo)(sqrt(x^4+ax^3+3x^2+b x+2)-sqrt(x^4+2x^3+cx^2+3x-d))=4

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  20. For all real value of x , the maximum value of the expression x/(x^2-5...

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