Circle The bisector of ∠B of an isosceles triangle ABC with AB = AC meets the circum circle of ∆ABC at P if AP and BC produced meet at Q, prove that CQ = CA

Linear Equation in two Variables Draw the graph of the equation 2 6 x y + = Read a solution of the equation from the graph and verify the same by actual substitution. Also find the points where the line meets the two exes.

Probability A survey of students was conducted to check the opinion of students about the topic geometry. It was found that 175 students do not like geometry. Find the probability of the students who like geometry.

Quadrilaterals ABC is a triangle and through vertices A, B and C lines are drawn parallel to BC, AC and AB respectively intersecting at D, E and F. prove that perimeter of ∆DEF is double the perimeter of ∆ABC.

Maths Class 9 The average mark of boys in an examination is 68 & that of girls in 89. If the average mark of all candidates in that examination is 80, find the ratio of the no. of boys to the number of girls that appeared in the examinations.