Hard· Composition and invertible functions· +4 / 0
Let and be two real polynomials of degree and respectively. If and , then the value of is ______.
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 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
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