Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The given expression sec^2 x =4xy/(x+y)^2 is true if and only if : A) x+y not equal 0B) x=y and x not = 0C ) x=yD) x and y both not equal to 0

The given expression sec^2 x =4xy/(x+y)^2 is true if and only if : A) x+y not equal 0B) x=y and x not = 0C ) x=yD) x and y both not equal to 0

Grade:11

1 Answers

Nishchal Joshi
13 Points
2 years ago
Cosec2Ѳ = 4xy / (x+y)2
 
Let cosec2Ѳ has a real value
 
Therefore, cosec2Ѳ ≥ 1
 
So, 4xy/(x+y)2 ≥ 1
 
or (x+y)2 ≤ 4xy
 
or (x+y)2 - 4xy ≤ 0
 
or (x-y)2 ≤ 0
 
This implies that x=y
 
Therefore given equation holds only if x=y
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free