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If `A=[[1,-1],[ 2,-1]]` and `B=[[a,1],[b,-1]]` and `(A+B)^2=A^2+B^2,` then find the value of `a` and `b`.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then ...

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  3. If A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then f...

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  6. Using properties of determinants, show that ABC is isosceles if |(1,1,...

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  7. A trust invested some money in two type of bonds. The first bond pays...

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  8. If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy...

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  9. Find : int(3x+1)sqrt(4-3x-2x^2)dx

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  10. Form the differential equation of the family of circles in the second ...

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  11. Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

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  12. Prove that the least perimeter of an isosceles triangle in which a cir...

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  13. Evaluate: int(x^2)/(x^4+x^2-2)\ dx

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  14. If the sum of lengths of hypotenuse and a side of a right angled tr...

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  15. Find the position vector of the foot of perpendicular and the perpe...

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  16. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

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  17. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  18. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

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  19. In a game, a man wins Rs. 5 for getting a number greater than 4 and ...

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  20. An urn contains 4 balls. Two balls are drawn at random from the urn...

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