Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Coordinate Geometry

Long Answer Type

201. Show that (1, -1) is the centre of the circle circumscribing the triangle whose angular points are (4, 3), (-2, 3) and (6, -1).

763 Views

Short Answer Type

202. If A(2, -1), B(3, 4), C(-2, 3) and D(-3, -2) be four points in a plane, show that ABCD is a rhombus but not a square.

228 Views

203. Show that the points (7, 10), (-2, 5) and (3, -4) are the vertices of an isosceles right triangle.

1273 Views

204. Show that A(-3, 2), B(-5, -5), C (2,-3) and D(4, 4) arc the vertices of a rhombus.

542 Views

205. Observe the graph given below and state whether triangle ABC is scalene, isosceles or equilateral. Justify your answer. Also find its area.

474 Views

206. Find the values of x for which the distance between the point P(2, -3) and Q(x, 5) is 10 units.

337 Views

207. Find a relation between x and y such thai the point P(x, y) is equidistant from the points A(2, 5) and B(-3, 7).

283 Views

208. If the distances of P (x, y) from the points A(3, 6) and B(-3, 4) are equal prove that 3x + y = 5

154 Views

209. If the points A (4, 3) and B (x, 5) are on the circle with the centre O (2,3), find the value of x.

Fig. 7.28.

Since, the points A (4, 3) and B (x, 5) are on the circle with centre O (2, 3)
∴    OA = OB [Radii of a circle]
⇒(4 - 2)² + (3 - 3)² = (x - 2)² + (5 - 3)²⇒    (2)² + (0)² = x² - 4x + 4 + (2)²⇒    4 = x² - 4x + 8
⇒    x² - 4x + 4 = 0
⇒    (x - 2)² = 0
⇒    x - 2 = 0
⇒    x = 2 Ans.
Problems Based on Section Formula