Easy· Types of relations· +4 / −1
Let a set , where for , . Define the relation from to by if and only if . Then, is :
The probability that a relation R from \x,y\ to \x,y\ is both symmetric and transitive, is equal to :
JEE Mains 2022 June 29 Shift 2 · Medium
Let c,k R . If f(x)=(c+1)x^2+(1-c^2)x+2k and f(x+y)=f(x)+f(y)-xy , for all x,y R , then the value of |2(f(1)+f(2)+f(3)++f(20))| is equal…
JEE Mains 2022 June 29 Shift 1 · Medium
Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8x^2-2x and g(f(x))=4x^2+6x+1 , then the value of…
JEE Mains 2022 June 29 Shift 2 · Hard