Solution: Question 96. Solution: Question 2. Prove that the points A(2, -1), B(3, 4), C(-2, 3) and D(-3, -2) are the vertices of a rhombus ABCD. Solution: Question 35. If the point A (x, y) is equidistant from two points P (6, -1) and Q (2,3), prove that y = x – 3. Find the value of p. Your email address will not be published. Find the ratio in which the point P(x, 2) divides the line segment joining the points A(12,5) and B(4, -3). If A(4,2), B(7,6) and C(l, 4) are the vertices of a ∆ABC and AD is its median, prove that the median AD divides ∆ABC into two triangles of equal areas Find the value of k, if the points A(7, -2), B(5,1) and C(3,2k) are collinear Solution: Question 90. Since all sides are of different length, ABC is a scalene triangle. Find the area of a quadrilateral ABCD, the coordinates of whose vertices are A(—3,2), B(5,4), C(7, -6) and D(-5, -4). The CBSE Class 10 examination often asks questions, either directly or indirectly, from the NCERT textbooks. Find the ratio in which the point P P(3/4,5/12) divides the line segment joining the points A(1/2,3/2) and 3(2, -5). Solution: Question 49. units? Prove that bx = ay. A point P divides the line segment joining the points A(3, -5) and B(-4, 8) such AP/PB=k/1. Find the point ony-axis which is equidistant from the points (-5, -2) and (3, 2). Find the coordinates of a point P on the line segment joining A(l, 2) and B(6,7) such that AP=2/5AB If the given points are collinear, the area of the triangle formed by them will be 0. Solution: Question 48. Also, find the value of x. Thanks to you byjus ❤️. Solution: Question 20. If P is equidistant from Q(2, -5) and R(-3, 6), find the coordinates of P. Also, find the coordinates of the point of division. Point M(11,y) lies on the line segment joining the points P(15,5) and Q(9,20). Solution: Question 76. Also find the distance PQ. If P(2,4) is equidistant from Q(7, 0) and R(x, 9), find the values of x. Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + √3,5) and C(2, 6). Similarly, Q also divides AB internally in the ratio 2 : 1. and the coordinates of Q by applying the section formula. If the points P(-3,9), Q(a, b) and R(4, -5) are collinear and a + b = 1, find the value of a and b. Solution: Question 80. If point P also lies on the line 3x + k(y + 1) = 0, find the value of k What is the distance between the points A(c, 0) and B(0, -c)? Solution: Question 18. Solution: Question 10. The coordinates of point C are (0, -3). Solution: Question 43. Is ABCD a square? Solution: Question 102. Hence, find the radius of the circle. Question 72. 1: The distance of the point P (2, 3) from the x-axis is. Q. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. Find the ratio in which the point (-3, k) divides the line-segment joining the points (-5, -4) and (-2,3). Solution: Question 39. Find the values of p and q. Find the ratio in which the line segment joining the points A(3, -3) and B(-2, 7) is divided by x-axis. Solution: Question 34. Solution: Question 114. Hence, the coordinates of the points of trisection of the line segment joining A and B are (–1, 0) and (– 4, 2). Write the coordinates of a point on x-axis which is equidistant from the points (-3, 4) and (2, 5). Find the values of k so that the area of the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. If the points A(-2,1), B (a, b) and C(4, -1) are collinear and a – b = 1, find the value of a and b. (x – 7)2 + (y – 1)2 = (x – 3)2 + (y – 5)2, x2 – 14x + 49 + y2 – 2y + 1 = x2 – 6x + 9 + y2 – 10y + 25. The x-coordinate of a point P is twice its y-coordinate. Thank you, BYJU’S!! Find the area of the quadrilateral ABCD whose vertices are A(3, – 1), B(9, -5), C(14,0) and D(9,19). Solution: Question 22. Also find the coordinates of the point of intersection. Solution: Question 51. If the point P(x,y) is equidistant from two points A (-3,2) and B (4, -5), prove that y = x- 2. Solution: Question 92. Prove that the points A(0, -1), B(-2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD? Find a point on x-axis which is equidistant from A(4, -3) and B(0,11). If P(-5, -3), Q (-4, -6), R(2, -3) and S(l, 2) are the vertices of a quadrilateral PQRS, find its area. Following the change in exam pattern, more MCQs are expected to be included in the exam paper from this academic year … Prove that the points A(2, 3), B(-2, 2), C(-l, -2) and D(3, -1) are the vertices of a square ABCD. Prove that the median AD divides AABC into two triangles of equal areas. Question 1. Also find the value of y. Solution: Question 79. Solution: Question 32. Find the value(s) of p for which the points (p + 1, 2p – 2), (p – 1 ,p) and (p -6, 2p – 6) are collinear. Solution: Question 99. Q. If the area of AABC formed by A(x, y), B(l, 2) and C(2, 1) is 6 square units, then prove that x +y= 15. Also, find the coordinates of the point of division. Find the values of a, if the circle passes through the point (11, –9) and has a diameter 10√ 2 units. If point P (1/2, y )lies on the line segment joining the points A(3, -5) and B(-7,9) then find the ratio in which P divides AB. If the point C(-l, 2) divides internally the line-segment joining the points A(2, 5) and B(x,y) in the ratio 3 : 4, find the value of x2 + y2. Solution: Question 120. Solution: Question 61. Find the value ofp, if the points A(l, 2), B(3,p) and C(5, -4) are collinear. Students can also get the solutions for all the questions of Class 10 NCERT textbook for Maths. Find the coordinates of P and Q. Find the value of y for which the points (5, -4), (3, -1) and (1, y) are collinear. Find the value(s) of p for which the points (3p + 1, p), (p + 2, p – 5) and (p + 1, -p) are collinear. (x, y) = (2, 3) is a point on the Cartesian plane in the first quadrant. If P(2, p) is the mid-point of the line segment joining the points A(6, -5) and B(-2,11), find the value of p. thank you for these questions, very helpful for my test, it was very useful . Solution: Question 82. If the points A(l, -2), B(2,3), C(-3,2) and D(-4, -3) are the vertices of parallelogram ABCD, then taking AB as the base, find the height of this parallelogram Let D, E, F be the mid-points of the sides of this triangle. Solution: Question 73. Solution: Question 65. Also find the value of k. Practice Questions For Class 10 Maths Chapter 7 Coordinate Geometry. ½ [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] = 0. Find the distance between the points, A(2a, 6a) and B(2a + √3 a, 5a). Also find the area of this triangle. Prove that the diagonals of a rectangle ABCD, with vertices A(2, – 1), B(5, – 1), C(5,6) and D(2,6), are equal and bisect each other. Find the value(s) of k for which the points (3k – 1, k – 2), (k, k-1) and (k – 1, – k – 2) are collinear 6: Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, –1), (2, 1) and (0, 3). 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. 4: Find the ratio in which the line segment joining the points (– 3, 10) and (6, – 8) is divided by (– 1, 6). For what values of k are the points (8,1), (3, -2k) and (k, -5) collinear? All the solutions are given at the student's level of understanding.
coordinate geometry class 10 questions with solutions