Solution: Question 70. If A(-2,3), B(6,5), C(x, – 5) and D(-4, – 3) are the vertices of a quadrilateral ABCD of area 80 sq. Point P divides the line segment joining the points A(-l, 3) and B(9, 8) such that AP/PB=k/1. Find the values of k for which the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k – 1, 5k) are collinear. The centre of a circle is (2a, a – 7). The solutions are divided into parts so that they can be easily understood by the students. Important Questions for Class 10 Maths Chapter 7 Coordinate Geometry with solutions includes all the important topics with detailed explanation that aims to help students to score more marks in Board Exams 2020. Prove that the points P(a, b + c), Q(b, c + a) and R(c, a + b) are collinear. Solution: Question 120. Hence, find the radius of the circle. The origin is the mid-point of the base. Find the coordinates of P and Q. If P is equidistant from Q(2, -5) and R(-3, 6), find the coordinates of P. Find the point on the x-axis, which is equidistant from (2, –5) and (–2, 9). Q. If the point P(x, y) is equidistant from the points A (a + b, b – a) and B(a -b,a+ b). The points A(4,7), B(p, 3) and C(7,3) are the vertices of a right triangle, right-angled at B. 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. And it’s questions too Find the value of k for which the points A(9, k), B(4, -2) and C(3, -3) are collinear. Solution: Question 47. Also find the value of y. [. If the points (p, q); (m, n) and (p-m,q-n) are collinear, show that pn = qm If the points A (1, –2), B (2, 3) C (a, 2) and D (– 4, –3) form a parallelogram, find the value of a and height of the parallelogram taking AB as the base. Question 2. Find the value of y for which the distance between the points A(3, -1) and B(11,y) is 10 units. Solution: Question 62. Find the value of y. Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + √3,5) and C(2, 6). 1: The distance of the point P (2, 3) from the x-axis is. Question 72. 4: Find the ratio in which the line segment joining the points (– 3, 10) and (6, – 8) is divided by (– 1, 6). Solution: Question 79. If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p. Also find the length of AB. Also find the coordinates of the point of division. Solution: Question 53. Solution: Let the required point be (x, 0). Find the point ony-axis which is equidistant from the points (-5, -2) and (3, 2). Prove that bx = ay. If A(-3,5), B(-2, -7), C(l, -8) and D(6,3) are the vertices of a quadrilateral ABCD, find its area. Show that Solution: Question 71. Solution: Question 89. Also find the coordinates of the point of intersection. please provide more questions, Your email address will not be published. Solution: Question 67. 3: Find the coordinates of the points of trisection (i.e., points dividing into three equal parts) of the line segment joining the points A(2, – 2) and B(– 7, 4). Solution: Question 11. 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. Solution: Question 45. Students who are preparing for their Class 10 exams must go through Important Questions for Class 10 Math Chapter 7 Coordinate Geometry. The solutions are precise, brief and with relevant diagrams. The three vertices of a parallelogram ABCD are A(3, -4), B(-l, -3) and C(-6, 2). Find the area of the quadrilateral ABCD, the coordinate of whose vertices are A(1, 2), B(6,2), C(5,3) and D(3,4). Get Free NCERT Solutions for Class 10 Maths Chapter 7 Ex 7.1 Coordinate Geometry Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Solution: Question 119. Practice Questions For Class 10 Maths Chapter 7 Coordinate Geometry. Solution: Question 55. Solution: Question 22. Solution: Question 61. Solution: Question 59. The mid-point P of the line segment joining the points A(- 10, 4) and B(- 2, 0) lies on the line segment joining the points C(- 9, – 4) and D(- 4, y). 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