Medium· Types of relations· +4 / −1
The probability that a relation from to is both symmetric and transitive, is equal to :
Let a set A=A_1 A_2 A_k , where A_i A_j=φ for i j , 1 i,j k . Define the relation R from A to A by R=\(x,y):y A_i if and only if x A_i,\ 1…
JEE Mains 2022 June 29 Shift 1 · Easy
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
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