If AB, AC, PQ are tangents in the figure and AB = 5 cm then perimeter of  is :A 5 cm B 10 cm C 12 cm         D 15 cm

do it with full step by step calculations, straight line L:2x+y+5=0 cuts the circle C:x2 +y2-4x+3y-10= 0 at two points P and Q. Straight line Lz: 3x + 2y-16= 0 cuts the cirele C at two points R and S. (a) Find the coordinates of P, q, R and S. (b) Find the perimeter of the quadrilateral PqRS

A circle is touching the side BC of ABC at P and touching AB and AC produced at Q and R respectively.Prove that AQ = (perimeter of ABC).

i) In ∆ABC, AB = 3 cm, BC = 2 cm and AC = 2.5 cm. ∆DEF ~ ∆ABC, EF = 4 cm.What is the perimeter of ∆DEF ?(A) 30 cm (B) 22.5 cm (C) 15 cm (D) 7.5 cm(ii) sin q. cosec q = ______(A) 1 (B) 0 (C) 12 (D) √2(iii) Find the perimeter of a sector of a circle if its measure is 90° and radiusis 7 cm.(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(iv) ______ number of tangents can be drawn to a circle from the point onthe circle.(A) 3 (B) 2 (C) 1 (D) 0Q.1. (B) Solve the following : 41. In trapezium ABCD, A BCDQPside AB || side PQ || side DC,AP = 15, PD = 12, QC = 14, find BQ.2. If sin q = 1161 find the values of cos q using trigonometric identity.3. Find the total surface area of a cylinder if the radius of its base is 5 cmand height is 40 cm.4. Draw seg AB of length 4.5 cm and draw its perpendicular bisector.

Find the perimeter of a sector of a circle if its measure is 90° and radiusis 7 cm.(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(iv) ______ number of tangents can be drawn to a circle from the point onthe circle.(A) 3 (B) 2 (C) 1 (D) 0Q.1. (B) Solve the following : 41. In trapezium ABCD, A BCDQPside AB || side PQ || side DC,AP = 15, PD = 12, QC = 14, find BQ.2. If sin q = 1161 find the values of cos q using trigonometric identity.3. Find the total surface area of a cylinder if the radius of its base is 5 cmand height is 40 cm.4. Draw seg AB of length 4.5 cm and draw its perpendicular bisector.

Write two expressions for the perimeter of the figure.5x4x914x19Note: The figure is not drawn to scale.(a) Use all five side lengths.=perimeter++++(b) Simplify the expression from part (a).=perimeter