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 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

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)

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 ______.

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 …..

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

A point P(a, b) is reflected in the Y-axis to P^1 (-3, 1) Write down the values of a and b. P^(11) is the image of P when reflected in the X axis. Write down the coordinates of P^(11) . P^(111) is the image of P when reflected in the line X = 5. Write down the coordinates of P^(111) .

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=