Geometry Mathematics 2 Balbharati Model Question Paper Set 1 2018-2019 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Ponit M is the mid point of seg AB and AB = 14 then AM = ?

Observe the adjoining figure and write down one pair of interior angles.

If Δ ABC ∼ Δ XYZ then complete the following brackets.
${\displaystyle \frac{AB}{XY}=\frac{ }{YZ}=\frac{AC}{}}$

Draw ∠ ARP= 115° and bisect it.

From the figure find the value of sinθ.

Write down the equation of X- axis.

Radius of a sphere is 14 cm. Find the surface area of the sphere.

P is the centre of the circle and its radius is
10 cm. Distance of a chord AB from the centre is 6 cm. Find the length of chord AB.

LMNP is a parallelogram. From the information given in the figure fill in the following boxes.
MN = cm
PN = cm
∠ M =
∠ N =

Select the correct alternative answer and write it.

The ratio of corresponding sides of similar triangles is 5 : 7, then what is
the ratio of their areas ?

(A)25 : 49 (B) 49 : 25 (C) 5 : 7 (D) 7 : 5

Select the correct alternative answer and write it.

What is the total surface area of a solid hemisphere whose radius is r ?

4πr²

πr²

2πr²

3πr²

Find the length of the hypotenuse in a right angled triangle where the sum
of the squares of the sides making right angle is 169.
(A)15 (B) 13 (C) 5 (D) 12

How many common tangents can be drawn to two circles, touching each
other externally?

One

Two

Three

 Four

In the given figure, CB ⊥ AB, DA ⊥ AB.
if BC = 4, AD = 8 then ${\displaystyle \frac{A(\Delta ABC)}{A(\Delta ADB)}}$ find.

Find the length of the hypotenuse of a square whose side is 16 cm.

Radius of a sector of a circle is 21 cm. If length of arc of that sector is 55 cm, find the area of the sector.

In the figure m(arc LN) = 110°,
m(arc PQ) = 50° then complete the following activity to find ∠LMN.
∠ LMN = ${\displaystyle \frac{1}{2}}$ [m(arc LN) - _______]
∴ ∠ LMN = ${\displaystyle \frac{1}{2}}$ [_________ - 50°]
∴ ∠ LMN = ${\displaystyle \frac{1}{2}}$ ×  _________
∴ ∠ LMN = __________

Complete the following activity to draw a tangent to a circle at a point on the circle.
                 Draw a circle of radius 2.2 cm with O as centre.

                                                ↓
                 Take any point P on the circle and draw ray OP.

                                                ↓
                 Draw a perpendicular line to the ray at point P.

                                                ↓
                         Name the perpendilcular line as l

                               l is the tangent at point P.

A tank of cylindrical shape has radius 2.8 m and its height 3.5 m. Complete the activity to find how many litres of water the tank will contain.
Capacity of water tank = Volume of cylindrical tank

= πr²h

In Δ DEF, line PQ || side EF, If DP = 2.4,
PE = 7.2, DQ = 1 then find QF.

In the figure Q is the contact point. If
PQ = 12, PR = 8, then PS = ?

If ${\displaystyle \sec \theta =\frac{25}{7}}$ then find tanθ.

Prove that, in a right angled triangle, the square of the hypotenuse is
equal to the sum of the squares of remaining two sides.

Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.

A storm broke a tree and the tree top rested on ground 20 m away from the
base of the tree, making an angle of 60o with the ground. Find the height
of the tree.

Draw a circle with centre P and radius 2.1 cm. Take point Q at a distance 5.2 cm from the centre. Draw tangents to the circle from point Q. Measure and write the length of a tangent segment.

AB and AC are the two chords of a circle whose radius is r. If p and q are
the distance of chord AB and CD, from the centre respectively and if
AB = 2AC then proove that 4q2 = p² + 3r².

Δ SHR ∼ Δ SVU. In Δ SHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and
SHSV = 53 then draw Δ SVU.

Radius of circular base of an ear of corn is 6.6 cm and its length is
11.2 cm. If on an average 1 sqcm area contains 2 corn kernels, find the
total number of kernels on a corn.

In Δ ABC and Δ PQR,
∠ ABC ≅ ∠ PQR, seg BD and
seg QS are angle bisector.
${\displaystyle If \frac{l\left(AD\right)}{l\left(PS\right)}=\frac{l\left(DC\right)}{l\left(SR\right)}}$
Prove that : Δ ABC ∼ Δ PQR