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

asinx+bcosx=c and a+b=2. if the given equation has a solution for all real values of a, then number of integral values of c are?

asinx+bcosx=c and a+b=2.
if the given equation has a solution for all real values of a, then number of integral values of c are?
 

Grade:11

1 Answers

Arnav Prasad
44 Points
5 years ago
Condition for solution is,
|c| equal to, or less than (a2+b2)½.
b = 2 – a. And a = 2 – b.
NOTE : We can say that it has a solution for all real values of b as well.
Putting b = 2 – a.
|c| equal to, or less than (2a2 – 4a + 4)1/2.
Since “a” can be any real value,
Let “a” tend to a very large number.
|c| equal to, or less than (A very large Number).
 
Thus, infinitely many integral values of c.

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