Find the integral of .
Such that and , then the value of is equal to
The values of and for which the identity is satisfied, where , are
If , then
The least value of is
If the area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units, then, the value of k will be:
then det(3 Adj(2A−1)) is equal to
What is the formula of ?
Let , , such that the equation, has a repeated root , which is also a root of the equation. If is the root of this equation, then is equal to:
Suppose are in A.P. and are in G.P. If and , then the value of is
∣∣ ∣∣184089408919889198440∣∣ ∣∣ is obtained as:
What is the determinant of a matrix?
If , then is equal to
Sum of the first terms of the following series is
If the equation, has conjugate complex roots and they satisfy , then
Let be in AP and be in HP. If and , then is
If is equal to
Triangle is formed by the coordinates (0, 0), (0, 21) and (21, 0). Find the number of integral coordinates strictly inside triangle (integral coordinates has both x and y):
has intinitely many solutions, then k is equal to
If are in GP, then the value of the determinant
- (adj M)2=I
If α, β, γ are the roots of the equation x3 + px + q = 0, then the value of the determinant ∣∣ ∣ ∣∣αβγβγαγαβ∣∣ ∣ ∣∣ is