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.

221.

Prove that an angle inscribed in a semi-circle is a right angle.

87 Views

222. Using vectors, prove that if two medians of a triangle ABC be equal, then it is an isosceles triangle.

157 Views

223. Using vectors, prove that the perpendicular bisectors of the sides of a triangle are concurrent.

274 Views

224. Prove that the median to the base of isosceles triangle is perpendicular to the base.

257 Views

225. If the median of the base of a triangle is perpendicular on the base, then prove that the triangle is an isosceles.

90 Views

226. (i) Prove that cos (α + β) )= cos α cos β – sin α sin β.
(ii) Prove that cos (α – p) = cos α cos β + sin α sin β.

85 Views

227. Prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

87 Views

228. Using vectors, prove that a parallelogram whose diagonals are equal is a rectangle.

88 Views

229. Prove using vectors: The quadrilateral obtained by joining mid-points of adjacent sides of a rectangle is a rhombus.

78 Views

230. Show that the angle between two diagonals of a cube is

cos to the power of negative 1 end exponent space open parentheses 1 third close parentheses.

82 Views