P-2 Geometric Constructions - Maharashtra Board STD 10 Maths Questions

Q 1M.C.Q (1 Marks)1 Mark

If AB : BC = 3 : 5, then how many equal parts seg AC divided to get point B _______ .

A
3
B
5
✓
8
D
Can't say

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

In $\triangle ABC \sim \triangle PQR , AB : PQ =2: 3$. If $BC =4$, then QR = _______ .

A
4
✓
6
C
9
D
8

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

Tangents drawn at the endpoints of a diameter of a circle are ______ .

A
Equal
B
Perpendicular
C
Parallel
D
Intersecting each other

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Q 4M.C.Q (1 Marks)1 Mark

The lengths of the two tangent segments drawn to a circle from an external point are ________ .

✓
Equal
B
Unequal
C
Infinite
D
Can't say

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark

________ number of tangent/s can be drawn from a point inside the circle.

✓
$0$
B
1
C
2
D
Infinite

Answer: A.

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Q 62 Marks Questions2 Marks

Draw a circle with radius 3.4 cm. Draw tangent to the circle, passing through point B on the circle, without using centre.

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Q 72 Marks Questions2 Marks

$l( AB ): l( BC )=3: 2$. Draw seg AB , if $l( AB )=7.2 cm$.

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Q 82 Marks Questions2 Marks

Draw a line segment PQ = 8cm Take a point R on it such that $l( PR ): l( RQ )=3: 2$.

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Q 92 Marks Questions2 Marks

$l( AB ): l( BC )=3: 2$. Draw seg AB , if $l( AB )=7.2 cm$.

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Q 102 Marks Questions2 Marks

Draw a line segment PQ = 8cm Take a point R on it such that $l( PR ): l( RQ )=3: 2$.

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Q 113 Marks Question3 Marks

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 123 Marks Question3 Marks

Draw a circle with centre P and radius 3.4 cm. Take point Q at a distance 5.5 cm from the centre. Construct tangents to the circle from point Q.

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Q 133 Marks Question3 Marks

Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

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Q 143 Marks Question3 Marks

Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

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Q 153 Marks Question3 Marks

Draw a circle of radius 2.7 cm. Draw a tangent to the circle at any point on it.

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Q 164 Marks Questions4 Marks

Draw a circle with 'O' as centre and radius 4 cm. Take a point P at a distance of 7.5 cm from 'O'. Draw tangents to the circle through the point P.

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Q 174 Marks Questions4 Marks

$\Delta$ΑΜΤ ~ $\Delta$ΑΗΕ, construct $\Delta$ΑΜT such that MA = 6.3 cm, $\angle$MAT = 120°, AT = 4.9 cm and $\frac{ MA }{ HA }=\frac{7}{5}$, then construct $\Delta$ΑΗΕ.

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Q 184 Marks Questions4 Marks

$\triangle PQR \sim \triangle PAB , m \angle P =60^{\circ}, PQ =6 cm, PR =4 cm$. Construct $\triangle PAB$, if $PQ : PA =3: 2$.

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Q 194 Marks Questions4 Marks

$\triangle PQR \sim \Delta PEF , m \angle P =70^{\circ}, PQ =5 cm, PR =3.5 cm$ Construct $\triangle PEF$, if $PQ : PE =5: 7$.

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Q 204 Marks Questions4 Marks

$\triangle PQR \sim \triangle ABC , PQ =3 cm, QR =4 cm, PR =5 cm$ $A (\triangle PQR ): A (\triangle ABC )=1: 4$. Construct both triangles

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