If adj`B=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1))` is `P Q` b. `Q A P` c. `P A Q` d. `P A^1Q`

" If "A,B,P" and "Q" are square matrices of the same order such that "adj B=A,|P|=|Q|=1," then "adj(Q^(-1)BP^(-1))=

If P and Q are symmetric matrices and PQ=QP then which of the following is/are true (A) QP^(-1)=P^(-1)Q(B)PQ is skew symmetric (C) P^(-1)Q is symmetric (D) both (a) and (c)

A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .

If a=xy^(p-1),b=yz^(q-1),c=zx^(r-1) , then a^(q-r)b^(r-p)c^(p-q) is equal to

A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D\ a n d\ Q is a point on B C such that: C Q=1/3B Cdot Prove that A Q C P is a parallelogram.

If a,(1)/(b),c and (1)/(p),q,(1)/(r) form two arithmetic progressions of the common difference,then a,q,c are in A.P.if p,b,r are in A.P.b.(1)/(p),(1)/(b),(1)/(r) are in A.P.c.p,b,r are in G.P.d. none of these

A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\ C P intersect at Q such that C Q : Q P=3: 1. If a r\ ( P B Q)=10\ c m^2, find the area of parallelogram A B C D

If in an A.P.the pth term is q and (p+q)^(th) term is zero then the q^(th) term is -p b.p c.p+q d.p-q

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: B C=P Q (b) A C=P R (c) A B=P Q (D) Q R=B C

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that D P = B Q . Show that: (i) DeltaA P D~= DeltaC Q B (ii) A P = C Q (iii) DeltaA B C (iv) A Q = C P (v) APCQ is a parallelogram.