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

If `x` is real and `Delta(x)=|[x^2+x, 2x-1, x+3] , [3x+1, 2+x^2, x^2-3] , [x-3, x^2+4, 2x]|= a_0x^7+a_1x^6+a_2x^5+...+a_6x+a_7` then

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RESONANCE DPP-JEE MAINS-All Questions
  1. Two vertices of a rectangle are on the positive x-axis. The other two ...

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

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

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  5. Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d g(x)={1,x<1 and ...

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

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

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

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

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

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

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

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

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  15. If minimum of f(x)=(a)/(x)+bx at x=2 is 2, then (a, b) -=….

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

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  17. P is a point on the line through the point A whose position vector i...

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  18. ABC is an isosceles triangle. If the co-ordinates of the base are (1, ...

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  19. lim(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b)...

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  20. The straight line x-y-2=0 cuts the axis of x at Adot It is rotated ...

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