help@askiitians.com

+91-87964 74404

Grade 12Differential Calculus

Suppose p,q,r,s are fixed real numbers such that a quadrilateral can be formed with sides p,q,r,s taken in a clockwise order. The vertices of the quadrilateral of maximum area lie on a circle. (True/False)

harshit agarwal

16 Years agoGrade 12

1 Answer

Jitender Singh

12 Years ago

Ans: True

Let ABCD be a quadrilateral with given sides p, q, r & s in clockwise order.

Area:

Area of triangle ABD + Area of triangle BDC

$\frac{1}{2}pq.sinA + \frac{1}{2}rs.sinC$

This value will be maximum when the angle A & C are commplementary.

$\angle A + \angle C = 180$

So the quadrilateral must be cyclic to have max. area.

Thanks & Regards

Jitender Singh

IIT Delhi

askIITians Faculty

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

1 Answer Available

Last Activity: 3 Years ago

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions