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.

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

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

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

It is given that, Point P(x, y) is equidistant from the points A(3, 6) and B(-3, 4)

Now comma space space space space PA space equals space square root of left parenthesis 3 minus straight x right parenthesis squared plus left parenthesis 6 minus straight y right parenthesis squared end root space space space space space space space space space space space space space space space space equals square root of 9 plus straight x squared minus 6 straight x plus 36 plus straight y squared minus 12 straight y end root space space space space space space space space space space space space space space space equals square root of straight x squared plus straight y squared minus 6 straight x minus 12 straight y plus 45 end root space space space space space space space space space PB space equals square root of left parenthesis negative 3 minus straight x right parenthesis squared plus left parenthesis 4 minus straight y right parenthesis squared end root space space space space space space space space space space space space space equals square root of 9 plus straight x squared plus 6 straight x plus 16 plus straight y squared minus 8 straight y end root space space space space space space space space space space space space space equals square root of straight x squared plus straight y squared plus 6 straight x minus 8 straight y plus 25 end root

It is given that, PA = PB

⇒ x² + y²-6x - 12y + 45 = x² + y² + 6x - 8y + 25
⇒ -6x - 6x - 12y + 8y = 25 - 45
⇒ -12x - 4y = -20
⇒ -4(3x + y) = -20
⇒ 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.

978 Views

210. The line joining the points (1, -2) and (-3, 4) is trisected. Find the co-ordinates of the points of trisection.

454 Views