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Using properties of determinants, show that ABC is isosceles if `|(1,1,1),(1+cosA,1+cosB,1+cosC),(cos^2A+cosA,cos^2B+cosB,cos^2C+cosC)|=0`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. A shopkeeper has 3 varieties of pens ‘A’, ‘B’ and ‘C’. Meenu purcha...

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate : int0^(3/2)|xcospix|dx

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

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

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

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  18. There are two types of fertilisers ‘A’ and ‘B’. ‘A’ consists of 12% ...

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  19. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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