Co-ordinate Geometry Chapter Boards Questions Class 10 CBSE
Here we provide Class 10 Maths important notes,board questions and predicted questions with Answers for chapter Co-ordinate Geometry. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 10 Maths syllabus. By practising these Class 10 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 10 Board examinations.
2016
Q1
Let P and Q be the points of trisection of the line segment joining the points A(2, 2) and B(-7, 4)
such that P is nearer to A. Find the coordinates of P and Q.
solutions
solutions
Q2
Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right angled isosceles
triangle.
solutions
solutions
Q3
If the point P(x, y) is equidistant from the points A(a+b, b-a) and B(a-b, a+b). Prove that bx = ay.
solutions
solutions
2017
Q4
(A) A line intersects the y-axis and x-axis at the points P and Q respectively. If (2,5) is the
mid-point of PQ, then find the coordinates of P and Q.
OR
(B) If the distances of P(x, y) from A(5, 1) and B(- 1, 5) are equal, then prove that 3x = 2y.
solutions
(B) If the distances of P(x, y) from A(5, 1) and B(- 1, 5) are equal, then prove that 3x = 2y.
solutions
Q5
In what ratio does the point (24/11 , y) divide the line segment joining the points P(2, 2) and Q(3,
7)? Also find the value of y.
solutions
solutions
2018
Q6
If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear, then find the value of k.
solutions
solutions
Q7
Find the distance of a point P(x, y) from the origin.
solutions
solutions
2019
Q8
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6,-3).
Hence find m.
solutions
solutions
Q9
Write the coordinates of a point P on x-axis which is equidistant from the points A(-2, 0) and B(6,
0).
solutions
solutions
Q10
Find a relation between x and y if the points A(x, y), B(-4, 6) and C(-2, 3) are collinear.
solutions
solutions
2020
Q11
If the point P(k, 0) divides the line segment joining the points A(2, —2) and B(-7, 4) in the ratio
1 : 2, then the value of k is
(a) 1
(b) 2
(c) -2
(d) -1
solutions
(a) 1
(b) 2
(c) -2
(d) -1
solutions
Q12
The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ - b cos
θ), is
(a) a2 + b2
(b) a2 - b2
(c) √ a2 + b2
(d) √ a2 - b2
solutions
(a) a2 + b2
(b) a2 - b2
(c) √ a2 + b2
(d) √ a2 - b2
solutions
Q13
If the point C(k, 4) divides the line segment joining two points A(2, 6) and B(5, 1) in ratio 2:3,
the value of k is .............
solutions
solutions
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