help@askiitians.com

+91-87964 74404

Differential Calculus> pic is attached ...please solve with diag...

question mark

pic is attached ...please solve with diagram ...please

milind , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Ans:
Hello Student,
Please find answer to your question below,

Arrangement is something like this, but in place of y, we have x & vice-versa.
Area of rectangle:
$xy$ …..........(1)
Area of triangle:
$\frac{1}{2}bh$ …........(2)
Now, we have three other portion remaining in the triangle other than rectangle. We are going to compare the area.
Area of bottom two triangles:
$\frac{1}{2}x.(b-y)$ ….....(3)
Area of upper triangle:
$\frac{1}{2}y.(h-x)$ ..........(4)

Now, we have
$(1) +(3)+(4) = (2)$
$xy + \frac{1}{2}y(h-x)+\frac{1}{2}x(b-y) = \frac{1}{2}bh$
$hy + bx = bh$
$y = \frac{b}{h}(h-x)$
Perimeter of rectangle:
$2(x+y)$
$2(x+b-\frac{b}{h}x)$
$2(b+(1-\frac{b}{h})x)$
Area of rectangle:
$xy$
$\frac{bx}{h}(h-x)$

Last Activity: 11 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

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: 3 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