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.
A wire in the form of a square encloses an area of 144cm how much area is enclosed if the same wire is bent in the form of a rectangle of length of 16cm ?
The letters of the word random are written in all possible ways and these words are written out as in a dictionary.Find the rank of the word ‘RANDOM’.
If r={(a,a3):a is a prime no less than 5} find the range of r
the two vectors \(\vec{A}\) and \(\vec{B}\) are drawn from a common point and \(\vec{C}=\vec{A}+\vec{B}\)
If the number of bijective functions from a set A to set B is 120,the n(A)+n(B) is equal to
Let \(f:R→R\) be defined by f(x)={\(x \text{ if } x≤1 -x+2 \text{ if } x>1\)}.Then \(∫_0^2f(x)dx\)=?