Let R be the relation in the set N given by R = {(a, b): a = b − 2, b > 6}. Choose the correct answer. (A) (2, 4) ∈ R (B) (3, 8) ∈R (C) (6, 8) ∈R (D) (8, 7) ∈ R
Show that the relation R in R defined as R = {(a, b): a ≤ b}, is reflexive and transitive but not symmetric.
Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.
Solve for x, |x + 1| + |x| >3
A committee of 11 members sit at a round table. In how many ways can they be seated if the “President” and the “Secretary” choose to sit together.
The curve satisfying y = 2x(dy/dx) is a
if sin x + cosec x = 2 then sin8 X cosec8 x =
If a(b-c)x2+b(c-a)x c(a-b)=0 has equal roots then a,b,c are in:
If any three rows or columns of a determinant are identical then the value of the determinant is:
If the point (x, y) is equidistant from the points (a + b, b – a) and (a – b, a + b), prove that bx = ay
if we increase the length by 2 units and the breadth by 2 units, then the area of rectangle is increased by 54 square units. find the perimeter of the rectangle (in units)
in the given figure AB | | CD, Find the value of x.
If 5 times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term is zero.
