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If the sum of lengths of hypotenuse and a side of a right angled triangle is given, show that area of triangle is maximum, when the angle between them is `pi/3dot`

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If the sum of the lengths of the hypotenues and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is pi/3 .

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find : int (dx)/(5-8x-x^2)

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  2. Discuss the commutativity and associativity of binary operation * d...

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

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  4. Using integration, find the area of region bounded by the triangle who...

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  5. If tan^-1 ((x-3)/(x-4))+tan^-1((x+3)/(x+4))=pi/4,

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  6. If x^y+y^x=a^b , then find dy/dx.

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  7. Find : int (cos theta)/((4+sin^2 theta)(5-4 cos^2 theta)) d theta

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  8. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  9. Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

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  10. Show that the points A, B, C with position vectors 2hati – hatj + hat...

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  11. Evaluate int0^(2pi) sin^2x cos^4x dx=

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  12. Write the distance of a point P(a ,b ,c) from x-axis.

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  13. Find the value of lambda , if four points with position vectors 3 hati...

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  14. If A and B are square matrices of order 3 such that |A| = – 1, |B| = 3...

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  15. There are 4 cards numbered 1,3,5 and 7, one number on one card. Two ca...

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  16. Of the students in a school, it is known that 30% have 100% attendance...

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  17. Show that the minimum of Z occurs at more than two points : Minimi...

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  18. Find (dy)/(dx) at t=(2pi)/3 when x = 10 (t – sin t) and y = 12 (1 –...

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  19. If P(A)=0. 4 ,P(B)=p ,P(AuuB)=0. 6 and A and B are given to be indepen...

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  20. A company produces two types of goods A and B, that require gold and s...

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