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Class 10 - Mathematics, Term 1 - Coordinate Geometry - 01, , 1. The ratio in which (4, 5) divides the join of, (2, 3) and (7, 8) is, a.2:3, b.-3:2, c.-2:3, d.3:2, 2. The points P(0, 6), Q(-5, 3) and R( 3,1) are, the vertices of a triangle, which is, a. scalene, b. equilateral, c. isosceles, d. right angled, 3. The area of the triangle with vertices (a,, b+c), (b, cta) and (c, atb) is, a.at+tbt+c, be+P+e¢, c.0, d.(a + b + c), 4. The points A (-4, 0), B(4, 0) and C(O, 3) are, the vertices of a, a. isosceles triangle, b. scalene triangle, c. equilateral triangle, d. right triangle

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. In what ratio does the x-axis divide the join, of A(2, -3) and B(5, 6)?, a.1:2, b.3:5, c.2:1, d.2:3, . If the point P(2, 4) lies on a circle, whose, centre is C(5, 8), then the radius of the, circle is, a. 25 units, b. 4 units, c. 8 units, d. 5 units, . The area of a triangle with vertices A(5,, 0), B(8, 0) and C(8, 4) in square units is, a. 12, b. 20, c.6, d. 16, . If the coordinates of a point are (3, -7), then, its ordinate is, a.7, , b. -3, c. -7, d.3

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9. In the fourth quadrant,, a. X is +ve, y is -ve, b. x is -ve, y is -ve, c. x is +ve, y is tve, d. x is -ve, y is +ve, 10. The perpendicular bisector of the line, segment joining the points A (1, 5) and B, (4, 6) cuts the y-axis at, a. (0, -13), b. (0, 12), c. (0, 13), d. (13, 0), , For question numbers 11-15, two statements, are given- one labeled Assertion (A) and the, other labeled Reason (R). Select the correct, answer to these questions from the codes (a),, (b), (c) and (d) as given below:

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11., , 12., , 13., , 14., , 15., , Assertion (A): Image of point (5, -16), under x-axis is (-5, 16)., , Reason (R): To find image of point (x, y), under x-axis change the sign of y and to, find image under y-axis change sign of, %, , Assertion: The point (-1, 6) divides the, line segment joining the points (-3, 10), and (6, -8) in the ratio 2 : 7 internally., Reason: Three points A, B and C are, collinear if area of ABC = 0., Assertion (A): The co-ordinates of the, point which divides the join of A(-5, 11), and B(4, -7) in the ratio 7: 2 is (2, -3), Reason (R): The coordinates of the point, P(x, y) which divides the line segment, joining the points A(x1, y1) and A(X», y2), in the ratio my : mg is, , My@o+mMe2, M1YotmMey,, mi +m: ? my+m2, , Assertion (A): Line segment joining (1,, 1) and (5, 5) meet x-axis at (3, 0)., , Reason (R): Using section formulas x =, mzratnz, MYy_,tny,, min ' mtn, , Assertion (A): Distance of (5, 12) from yaxis is 5 units., , Reason (R): Distance of point (h, k) from, y-axis is always k units.

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Answer questions 16-20 based on the, following case study:, , Students of a school are standing/seating in, rows and columns in their playground for, Yoga practice. A, B, C and D are the positions, of four students as shown in the figure., , , , , , , , , , , , , , , , 16. The positions of A, B respectively are:, a. (3, 5), (8, 7), b. (3, 5), (9, 7), c. (3, 5), (7, 9), d. (5, 3), (7, 9), 17. The distance between A and B is:, a. /32 units, , b. 23 units, , c. 42 units, , d. 35 units, , 18. It is possible to place Jaspal in the drill, in such a way that he is equidistant from, each of the four students A, B, C and D, then the Position of Jaspal is:, , a. (3, 7), , b. (3, 5), c. (5, 7), d. (7, 5)