Maths · Chapter 24
Geometry I · Lines, Angles & Triangles PYQs
Circles, mensuration, trigonometry: every geometry question you solve later comes down to a triangle in the end.
Lines and angles: complementary, supplementary and vertically opposite angles 6 PYQs
- Two adjacent angles form a linear pair. If one angle is 38°, then the other angle is:SSC Selection Post 2026 · 17 Sep 2026
- Two complementary angles are such that one angle is 29°. Find the other angle.SSC Selection Post 2026 · 19 Sep 2026
- A satellite dish is tilted at 31°. What will be the complementary angle?SSC Selection Post 2026 · 18 Sep 2026
- A ladder leans against a wall so that it makes an angle of 28° with the ground. To calculate the stability, an engineer has to find the…SSC Selection Post 2026 · 26 Sep 2026
- Which of the following best describes a straight angle?UP Police Constable 2026 · 09 Jun 2026
- If two adjacent angles are (x + 3)° and (2x + 15)° and they form a linear pair, then the smaller angle is:SSC Selection Post 2026 · 17 Sep 2026
Parallel lines and a transversal 2 PYQs
- Two parallel lines, L1 and L2, are cut by a transversal. If one of the interior angles on the same side of the transversal is 70°, what is the…RRB NTPC 2026 · 18 Mar 2026
- Two parallel lines L1 and L2 are cut by a transversal. If one of the alternate interior angles is 65°, what is the measure of the other alternate…RRB NTPC 2026 · 19 Mar 2026
Angle-sum property of a triangle 1 PYQs
Exterior angle property and isosceles angle chasing 2 PYQs
- Two chords AB and CD of a circle subtend angles of 40° and 70° respectively at the centre. Find the difference between the angles subtended by these…SSC Selection Post 2026 · 16 Sep 2026
- Two chords AB and CD of a circle intersect at a point P inside the circle. If ∠APC = 75° and the ratio of arcs AC and BD is 5 : 1, find the angle…SSC Selection Post 2026 · 18 Sep 2026
Congruence of triangles 2 PYQs
- In a circle, two chords AB and CD are equal in length. If chord AB subtends an angle of 35° at the centre, find the angle subtended by chord CD at…SSC Selection Post 2026 · 26 Sep 2026
- Let ABC and DEF be two congruent triangles such that ∠A = ∠D. If AC = DF = 6 cm, and DE = 5 cm, then find the length (in cm) of AB.RRB NTPC 2026 · 27 Mar 2026
Similar triangles, basic proportionality theorem (BPT) and the midpoint theorem 4 PYQs
- Triangles ABC and PQR are similar in the order ABC ~ PQR. If AB = 8 cm, BC = 10 cm, CA = 12 cm and PQ = 12 cm, what is the perimeter of triangle PQR?SSC Selection Post 2026 · 24 Sep 2026
- In △ABC, a line DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 2 : 3 and BC = 35 cm, find DE.SSC Selection Post 2026 · 26 Sep 2026
- The sides of a triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm, respectively. Another triangle is formed by joining the mid-points of the sides…RRB Group D 2026 · 09 Jan 2026
- In a triangle ABC, D and E are points on sides AB and AC respectively such that DE ∥ BC. If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the…SSC Selection Post 2026 · 19 Sep 2026
Pythagoras theorem, triplets and the acute/obtuse test 1 PYQs
Right triangle with the altitude on the hypotenuse 2 PYQs
- The sides of a triangular field are 20 m, 21 m and 29 m. After identifying the triangle as right-angled, find the length of the altitude drawn to…SSC Selection Post 2026 · 25 Sep 2026
- A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. If a perpendicular is drawn from the vertex opposite the longest side to the longest side,…RRB NTPC 2026 · 20 Jun 2026