lines l || m, p || q. Find a,b,c,d

Two lines l and m are intersect at the point O is a point on a line n passng through the passed O such that P is equidistant from l and m. find than n is the bisector of the angle formed by l and m.

Let a,b,c,d be positive real numbers with altbltcltd . Given that a,b,c,d are the first four terms of an AP and a,b,d are in GP. The value of (ad)/(bc) is (p)/(q) , where p and q are prime numbers, then the value of q is _____

Lines l || m is cut by rransersal 't'. Find the value of x and y.

Let A= Q xx Q . Let'*' be a binary operation on A defined by: (a, b) * (c, d)= (ac, ad + b). Find the invertible elements of A.

Let A= Q xx Q . Let'*' be a binary operation on A defined by: (a, b) * (c, d)= (ac, ad + b). Find the identity element of A

In the figure, if P is (a, b, c), find the co-ordinates of A, B, C and L, M, N.

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O P.O Q=p^2 , then find the locus of the point Qdot

In triangle A B C , a point P is taken on A B such that A P//B P=1//3 and point Q is taken on B C such that C Q//B Q=3//1 . If R is the point of intersection of the lines A Qa n dC P , using vector method, find the area of A B C if the area of B R C is 1 unit

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet lat S. What shape do the two sets of parallel lines enclose?

Let * be the binary operation on N given by a*b = l.c.m. of a and b. Find 5 * 7, 20 * 16