Home
Class 12
MATHS
If a,b,c,d are the side of a quadrilater...

If a,b,c,d are the side of a quadrilateral, then find the the minimuym value of `(a^(2)+b^(2)+c^(2))/(d ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
Minimum value of `(a ^(2)+b^(2)+c^(2))/(d ^(2)is 1/3.`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let S be the 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 the sides of the quadrilateral, prove that 2 le a^(2)+b^(2)+c^(2)+d^(2)le 4 .

If a,b,c are non-zero real numbers, then the minimum value of the expression ((a^(8)+4a^(4)+1)(b^(4)+3b^(2)+1)(c^(2)+2c+2))/(a^(4)b^(2)) equals

If a,b,c and d are four real numbers of the same sign, then the value of (a)/(b)+(b)/(c )+(c )/(d)+(d)/(a) lies in the interval

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d

If a,b,c,d,e and f are in GP the value of |{:(a^(2),d^(2),x),(b^(2),e^(2),y),(c^(2),f"^(2),z):}| is

If A(-5, 7), B(-4, -5) , C(-1, -6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD

if a,b, c, d and p are distinct real number such that (a^(2) + b^(2) + c^(2))p^(2) - 2p (ab + bc + cd) + (b^(2) + c^(2) + d^(2)) lt= 0 then a, b, c, d are in

If a ,b ,c are sides of a scalene triangle, then value of {:|(a, b, c), (b, c, a), (c, a, b)|:} is (a) positive (b) negative (c) non-positive (d) non-negative

Let A= [[a,b,c],[b,c,a],[c,a,b]] is an orthogonal matrix and abc = lambda (lt0). The value a^(2) b^(2) + b^(2) c^(2) + c^(2) a^(2) , is

Let a ,ba n dc be real numbers such that a+2b+c=4 . Find the maximum value of (a b+b c+c a)dot