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Let S be a square of unit area. Consider...

Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If `a , b , c and d` denote the lengths of sides of the quadrilateral, prove that `2 ≤ a_2 + b_2 + c_2 + d_2 le 4`

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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  15. The length of the longest interval in which the function 3sinx-4sin^3x...

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  16. If f(x)=e^(1-x) then f(x) is

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  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. about to only mathematics

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