Let A be the set of first ten natural numbers and let R be a relation in A defined by if and only if x+2y=10 Which of the following is false?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

R={(2,4),(4,3),(6,2),(8,1)}

Domain of R={2,4,6,8}

Range of R={1,2,3,4}

Atleast one is false

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have,R={(x,y):x,y∈N,x+2y=10,1≤x,y≤10}x+2y=10⇒y=10-x2R={(2,4),(4,3),(6,2)(8,1)}Domain of R={x:(x,y)∈R={2,4,6,8}Range of R={y:(x,y)∈R}={4,3,2,1}

Watch 3-min video & get full concept clarity