PYQ Vault

Day 45: MH SSC Class 10 Geometry

5 questions. Try each one first, then open its answer.

  1. Question 1

    Pythagoras Theorem. Asked once: Mar 2025

    Q5(1)
    □ABCD\square ABCD is a rectangle. Taking AD as a diameter, a semicircle AXD is drawn which intersects the diagonal BD at X. If AB=12AB = 12 cm, AD=9AD = 9 cm, then find the values of BD and BX.

  2. Question 2

    Similarity. Asked once: Mar 2024

    Q5(1)
    □ABCD\square ABCD is a trapezium with AB∥CDAB \parallel CD. The diagonals of the trapezium intersect at point P. (a) Draw the figure using the given information. (b) Write any one pair of alternate angles and one pair of opposite (vertically opposite) angles. (c) Write the names of the similar triangles with the test of similarity.

  3. Question 3

    Trigonometry. Asked once: Mar 2018

    Q1(iv)
    If θ=45∘\theta = 45^\circ, then find tan⁡θ\tan\theta.

  4. Question 4

    Circle. Asked once: Jul 2025

    Q4(3)
    In the following figure △ABC\triangle ABC is an isosceles triangle with perimeter 44 cm. The base BC is of length 12 cm. Side AB and AC are congruent. A circle touches the three sides of triangle as shown. Find the length of tangent segment from A to circle.

  5. Question 5

    Co-ordinate Geometry. Asked once: Mar 2019

    Solve the following questions (Any one):
    Q6(i)
    Show that the points (2, 0), (-2, 0) and (0, 2) are the vertices of a triangle. Also state with reason the type of the triangle.