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Syllabus

on a graph sheet with same axes and taking suitable scales draw two graph ,first for the cost of manufacturing against no of articles and second for the selling price against no of articles

x– y+ 6 = 0 andx– 2y(i) Write down the coordinates of A, B, C, D.

(ii) Prove that triangles OAB and ODC are similar.

(iii) Is figure ABCD cyclic? Give reasons for your answer.

Q11. N ranks fifth in the class S is eight from the last. If T is sixth after N and just in the middle of N and S, then how many students are there in the class?

(A) 23 (B) 24

(C) (D) 26

Q.8. Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).

Q.9. The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from the points Q (2, - 5) and R (- 3, 6), then find the coordinates of P.

Hint: The point P is of the form (2k, k).

J.The mean of 5 observations is 15. If the mean of first three observations is 14 and that of the last three is 17, find the third observation.Q1. Draw the graph for each equation, give below:

(v) 2x + 3y = 0 (vi) 3x + 2y = 6

(vii) x – 5y + 4 = 0 (viii) 5x + y + 5 = 0

26. If G(—2,1) is the centroid of triangle ABC, two of whose vertices are (1, — 6) and B (-5, 2), find the third vertex of the triangle.

segmentsED & EC a t poin ts G and H respectively . prove GEHF IS a parallelogramQ11. In the given figure, $\angle $B = 90° , XY || BC. AB = 12 cm, AY = 8 cm and AX : XB = 1 : 2. Find the length of AC and BC.

This question is from [Lesson Quadratic Equation]

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$\frac{2}{\sqrt{5}+\sqrt{3}}$