Pls answer question no 18

Pls answer question no 18 SECTION- C 13.By using Euclid's division algorithm, find whether the pair of numbers 847, 2160 are co-primes or not. 14.Find the zeroes of the polynomial 6x2 -7x-3 and verify the relationship between the zeroes and the coefficients. ISA bag contains S red balls and some blue balls. If the probability of drawing a blue ball from the bag is thrice that of a red ball, find the number of blue balls in the bag. 16.Find the value of k if the points A (2, 3), B (a,k) and are collinear. Ifthe points A (6, 1), B (S, 2), C (9, 4) and D (p,3) are the vertices of parallelogram taken in order, find the value of p. 17.Provethat sinO—cosO sin O tan2 OR Evaluate without using trigonometric tables: sin! O sin : (90—0) 3COt sin' 36' 18. ABC is an isosceles triangle, in Which AB ZAC, circumscribed about a circle. Show that BC is bisected at the point of contact. 19. In figure, M is the midpoint of CDof a parallelogram ABCD. The line BM is drawn intersecting Acat L and AD produced at E- prove that EL =

Dear Student,

We know that the tangents drawn from an exterior point to a circle are equal in length.

∴ AP = AQ (Tangents from A) ..... (1)

BP = BR (Tangents from B) ..... (2)

CQ = CR (Tangents from C) ..... (3)

Now, the given triangle is isosceles, so given AB = AC

Subtract AP from both sides, we get

AB – AP = AC – AP

⇒ AB – AP = AC – AQ (Using (1))

BP = CQ

⇒ BR = CQ (Using (2))

⇒ BR = CR (Using (3))

So BR = CR, shows that BC is bisected at the point of contact.

Regards