CBSE Class 10 Mathematics Coordinate Geometry Assignment Set 12

Question. The distance of the point \( (3,4) \) from the origion is
(a) \( 5 \) units
(b) \( 6 \) units
(c) \( 7 \) units
(d) \( 4 \) units
Answer: (a) \( 5 \) units

Question. The distance of the point \( P(-3,-4) \) from X-axis is
(a) \( -4 \) units
(b) \( 4 \) units
(c) \( 3 \) units
(d) \( -3 \) units
Answer: (b) \( 4 \) units

Question. If the point \( P(-4,1) \) divides the line segment joining the points \( A(2,-2) \) and \( B \) in the ratio \( 3:5 \), the Co-ordinate of the point \( B \) is
(a) \( (14,-6) \)
(b) \( (-14,8) \)
(c) \( (-14,6) \)
(d) \( (-14,-6) \)
Answer: (c) \( (-14,6) \)

Question. If the points \( (8,1) \), \( (k,-4) \) and \( (2,-5) \) are Collinear then the value of \( k \) is
(a) \( k = -3 \)
(b) \( k = -2 \)
(c) \( k = 2 \)
(d) \( k = 3 \)
Answer: (d) \( k = 3 \)

Question. The Centroid of a triangle whose Co-ordinates are \( A(3,1) \), \( B(5,4) \), \( C(7,-2) \) is
(a) \( (5,1) \)
(b) \( (-5,1) \)
(c) \( (5,-1) \)
(d) \( (-5,-1) \)
Answer: (a) \( (5,1) \)

Question. The ratio, in which the line segment joining the points \( A(-5,-6) \) and \( B(3,2) \) is divided by \( x \)-axis, is
(a) \( 1:3 \)
(b) \( 3:1 \)
(c) \( 1:4 \)
(d) \( 1:5 \)
Answer: (b) \( 3:1 \)

Question. \( A \) is a point on \( y \)-axis whose Ordinate is \( 5 \) and the point \( B \) is \( (3,1) \), the length \( AB \) is
(a) \( 7 \) units
(b) \( 6 \) units
(c) \( 5 \) units
(d) \( 4 \) units
Answer: (c) \( 5 \) units

Question. The point on \( x \)-axis which is Equidistant from \( A(-2,3) \) and \( B(5,4) \) is
(a) \( (0,2) \)
(b) \( (1,2) \)
(c) \( (2,2) \)
(d) \( (2,0) \)
Answer: (d) \( (2,0) \)

Question. If the distance between the points \( (a,-5) \) and \( (2,7) \) is \( 13 \) units , the value of \( a \) is
(a) \( 7, -3 \)
(b) \( -7, 3 \)
(c) \( -7, -3 \)
(d) \( 7, 3 \)
Answer: (a) \( 7, -3 \)

Question. If the Co-ordinate of the Centroid, of a \( \Delta \) whose vertices are \( A(5,2) \), \( B(3,-4) \), is \( G(5,0) \). The Co-ordinate of \( C \) is
(a) \( (7,-2) \)
(b) \( (7,2) \)
(c) \( (-7,2) \)
(d) \( (-7,-2) \)
Answer: (b) \( (7,2) \)