CBSE Class 10 Mathematics Coordinate Geometry Assignment Set 13

Question. The number of quadrants in the Co-ordinate System are
(a) 1
(b) 2
(c) 3
(d) 4
Answer: (d) 4

Question. The distance from origion to any point on x-axis is
(a) \( x \)
(b) \( y \)
(c) \( \sqrt{x^2+y^2} \)
(d) None of the options
Answer: (a) \( x \)

Question. The Co-ordinate of Origion is
(a) \( (0, 1) \)
(b) \( (1, 0) \)
(c) \( (0, 0) \)
(d) None of the options
Answer: (c) \( (0, 0) \)

Question. The Co-ordinate of any point in the third quadrant is
(a) \( (x, y) \)
(b) \( (-x, y) \)
(c) \( (x, -y) \)
(d) \( (-x, -y) \)
Answer: (d) \( (-x, -y) \)

Question. The distance between R(x+y, x-y) And S'(x-y, -x-y) is
(a) \( 2\sqrt{x^2+y^2} \)
(b) \( \sqrt{x^2+y^2} \)
(c) \( \sqrt{x^2-y^2} \)
(d) \( 2\sqrt{x^2-y^2} \)
Answer: (a) \( 2\sqrt{x^2+y^2} \)

Question. If the distance between P(a, 0) And Q(0, x) is \( \sqrt{a^2+b^2} \), the value of x are
(a) \( \pm a \)
(b) \( \pm b \)
(c) \( (a, 0) \)
(d) \( (0, b) \)
Answer: (b) \( \pm b \)

Question. The Centre of a circle is (3, 6). One end of the largest chord is (4, 8). The Co-ordinate of other end of the chord is
(a) \( (2, 4) \)
(b) \( (-2, 4) \)
(c) \( (-2, -4) \)
(d) \( (4, 2) \)
Answer: (a) \( (2, 4) \)

Question. Are the following points Collinear? A(-2, -2) , B(1, 1) , C(6, 6)
(a) No
(b) yes
(c) None of the options
Answer: (b) yes

Question. The Co-ordinate of mid point of A(3, 2) And B(-3, 2) is
(a) \( (0, 4) \)
(b) \( (6, 0) \)
(c) \( (0, 2) \)
(d) \( (0, -4) \)
Answer: (c) \( (0, 2) \)

Question. The area of \( \Delta \) whose Co-ordinates are A(-2, 5) , B(0, 1) , C(2, -3) is
(a) 4 sq. units
(b) 3 sq. units
(c) 1 sq. units
(d) 0
Answer: (d) 0