In Fig.42, `P L_|_O B` and `P M_|_O A` such that `P L=P M` . Is `DeltaP M O ?` Give reason in support of your answer.

In Figure, /_Q P R=/_P Q R and M and N are respectively on sides Q R and P R of P Q R such that Q M=P N . Prove that O P=O Q , where O is the point of intersection of P M and Q Ndot

Two lines l and m interset at the O and P is Point on a line n Passing through the point O such that P is equidistant from l and m. Prove that n is the bisectof the angle formed by l and m

m n o n o p q o p q r s------

In Fig. 10.88, A P B is a tangent to a circle with centre O at point P . If /_Q P B=50o , then the measure of /_P O Q is (FIGURE) 100o (b) 120o (c) 140o (d) 150o

In Fig. 10.60, P A and P B are tangents from an external point P to a circle with centre O . L N touches the circle at M . Prove that P L+L M=P N+M N . (FIGURE)

Direction: Study the information given below carefully and answer the questions that follow. There are eight people J, K, L, M, N, O, P and Q standing in a playground. J is 20 m north of K. O is 15 m south of N. P is 12 m west of Q which is in the middle of J and K. N is 5 m east of M. L is 18 m west of O. M is 5 m north of P. What is the shortest distance between Nand L?

O A and O B are fixed straight lines, P is any point and P M and P N are the perpendiculars from P on O Aa n dO B , respectively. Find the locus of P if the quadrilateral O M P N is of constant area.

Study the following information carefully and answer the given questions : A Business School with six Professors L, M, N, O, P and Q has decided to implement a new scheme of course management. Each Professor has to co-ordinate one course and support another course. This semester, O's support course is Finance, while three others have it in co-ordinator's role. P and Q have Marketing as one of their subjects. Q co-ordinates Operations, which is a support course for both N and P. Finance and IT are L's subjects. Both L and O have same subjects. Strategy is a support course for only one of the Professors. Which course is supported by M?