Q.3 (B)(2) Draw a circle with centre O and radius 3.5 cm, take a point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.
Geometric Constructions
Every question from past board papers on Geometric Constructions, newest paper first. Open any question for its full worked answer.
Maharashtra SSC Geometry (Mathematics Part II) Board Paper March 2026
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Q.4 (1) Δ ABC ~ Δ ADE,
In Δ ABC, AB = 6.3 cm, ∠CAB = 50º, AC = 5.6 cm and \(\dfrac{AB}{AD} = \dfrac{7}{5}\).
Construct Δ ADE.
Maharashtra SSC Geometry (Mathematics Part II) Board Paper March 2025
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Q.3 (B)(3) Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.
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Q.4 (2) Δ ABC ~ Δ PQR. In Δ ABC, AB = 3.6 cm, BC = 4 cm and AC = 4.2 cm. The corresponding sides of Δ ABC and Δ PQR are in the ratio 2 : 3, construct Δ ABC and Δ PQR.
Maharashtra SSC Geometry (Mathematics Part II) Board Paper July 2025
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Q.3 (B)(2) Draw a circle with centre O of radius 3.4 cm. Draw a chord MN of length 5.7 cm in it. Construct tangents at point M and N to the circle.
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Q.4 (2) \(\Delta ABC \sim \Delta PBR\), BC = 8 cm, AC = 10 cm, ∠B = 90º, \(\dfrac{BC}{BR} = \dfrac{5}{4}\), then construct Δ PBR.
Maharashtra SSC Geometry (Mathematics Part II) Board Paper July 2024
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Q.2 (B)(1) Construct a tangent to a circle with centre P and radius 3.2 cm at any point M on it.
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Q.3 (B)(2) Draw a circle with centre P and radius 3.5 cm. Take point Q at a distance 8 cm from the centre. Construct tangents to the circle from point Q.
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Q.4 (2) \(\Delta LMN \sim \Delta LQP\). In \(\Delta LMN\), LM = 3.6 cm, \(\angle L = 50^\circ\), LN = 4.2 cm and \(\dfrac{LM}{LQ} = \dfrac{4}{7}\). Construct \(\Delta LQP\).
Maharashtra SSC Geometry (Mathematics Part II) Board Paper March 2024
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Q.3 (B)(2) \(\Delta ABC \sim \Delta LMN\). In \(\Delta ABC\), AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct \(\Delta ABC\) and \(\Delta LMN\) such that \(\dfrac{BC}{MN} = \dfrac{5}{4}\).
[Figure: none; construct both triangles.]
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Q.4 (3) Draw a circle with centre O having radius 3 cm. Draw tangent segments PA and PB through the point P outside the circle such that ∠APB = 70º.