Write the value of the determinant `|[p ,p+1],[p-1,p]|` .

The determinant of [(p,3),(-2,1)] is

If Aand B are two events than the value of the determinant choosen at random from all the determinants of order 2 with entries 0 or 1 only is positive or negative respectively. Then (a) P(A) ge P(B) (b) P(A) le P(B) (c) P(A)= P(B)=1/2 (d)None of these

If the adjoint of a 3 xx 3 matrix P is [{:(,1,4,4),(,2,1,7),(,1,1,3):}] , then the possible value(s) of the determinant of P is (are)

If Aand B are two events than the value of the determinant choosen at random from all the determinants of order 2 with entries 0 or 1 only is positive or negative respectively. Then (a) P(A) ge P(B) (b) P(A) le P(B) (c) P(A)= P(B) (d)None of these

Let P be a matrix of order 3xx3 such that all the entries in P are from the set {-1,\ 0,\ 1} . Then, the maximum possible value of the determinant of P is ______.

Using properties of determinants. Prove that |[1 ,1+p,1+p+q],[2, 3+2p,4+3p+2q],[3, 6+3p, 10+6p+3q]|=1

If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points then area of the triangle ABC is 1/(lamda)|p^(3)-p+1| . The value of lamda is

If P_1, P_2 and P_3 are the altitudes of a triangle from vertices A, B and C respectively and Delta is the area of the triangle, then the value of 1/P_1+1/P_2-1/P_3=

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

If overline(P_1P_2) is perpendicular to overline(P_2P_3) , then the value of k is, where P_1(k, 1, -1), P_2(2k, 0, 2) and P_3(2+2k, k, 1) is …..