Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
The system of equations |x| + |y| = 1 and x2 + y2 = a2 will have ___ solutions if
1. a=1
2. 1/2
x sq. + y sq. = a sq.
means a circle of radious a unit
to lie on the circle., ιxι+ιyι=1 which is a square with extreme points (0,a),(a,0),(0,-a),(-a,0)
only these points will lie on the circle
hence there are 4 solutions for a=1
for a=1/2 no solutions because no point will intersect the square
how do you find the coordinates?and how we can say that its a square lying on the circle;
as it is looking like straight line eqn.
plz provide me the ansr properly.
obviously we can say because ιxι cant be >1 and if ιxι is 1 then x can be either -1 or 1
hence y will be zero
see here all the points of ιxι+ιyι=1 satisfies the square formed and the inner circle doesnt intersect the square at any place
|x| + |y| = 1 will have its corner points as (1,0) , (0,1) , (-1,0) , (0,-1) which is in the shape of a sqaure tilted by 45 degreesx^2 + y+2 = a^2 is a circle with radius a units1. a=1radius is 1 unit..so its graph of |x| + |y| =1 touches the circle at 4 above mentioned points by graph2.a=1/2 raius is 1/2 unitnow the circle willlie inside the sqaureso no solutionsplzz approve
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !