In the fig. if LM II CB and LN II CD, prove that

Due to heavy storm an electric wire got bent as shown in the figure. It followed a mathematical shape. Answer the following questions below.

i. Name the shape in which the wire is bent

a) Spiral b) ellipse c) linear d) Parabola

ii. How many zeroes are there for the polynomial (shape of the wire)

a) 2 b) 3 d) 1 d) 0

iii. The zeroes of the polynomial are

a) -1, 5 b) -1, 3 c) 3, 5 d) -4, 2

iv. What will be the expression of the polynomial?

a) x²+2x -3 b) x² -2x +3 c) x² - 2x -3 d) x² +2x+3

v. What is the value of the polynomial if x = -1?

a) 6 b) -18 c)) 18 d) 0

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internally.

OR

Find a relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5)

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.

Draw a line segment of length 7.8 cm and divide it in the ratio 5:8. Measure the two parts.