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If A is square matrix such that `A^2=A` , then `(I+A)^3-7A` is equal to (A) A (B) `I" "" "A` (C) I (D) 3A

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider the following equation is x and y:(x-2y-1)^(2)+(4x+3y-4)^(2...

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  2. If a,b,c are distinct odd integers and omega is non real cube real of ...

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  3. If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to...

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  4. Prove that: |-2a a+b a+c b+a-2bb+cc+a c+b-2c|=4(a+b)(b+c)(c+a)

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  5. The number of ways of seven digit number with distinct digits of the f...

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  6. If a, b, c ∈ R, a ≠ 0 and the quadratic equation ax^2 + bx + c = 0 ha...

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  7. If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = h...

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  8. The projection of point P( vec p) on the plane vec rdot vec n=qi s( v...

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  9. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  10. If u and v are the roots of the equation x^2+2x-2=0 , then the value o...

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  11. If A^3 =O, then I+ A +A^2= (where I is the unit matrix of order same a...

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  12. If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto...

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  13. Evaluate: inte^x((1-sinx)/(1-cosx))dx

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  14. Prove that (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn) = (C0...

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  15. It is given that the Rolles' theorem holds for the function f(x)=x^3...

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  16. If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivati...

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  17. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

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  18. The mean and variance of a binomial distribution (p+q)^n are 20 and 16...

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  19. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

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  20. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

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