SSC Papers for Practice Geometry Maharashtra Board
Q.1)
Solve any Five (5)
1) ∆ABC ∽ ∆PQR. If AB : PQ = 2:3 Find A∆ABC: A ∆PQR
2) Two circles
touch externally and their radii are 4 and 7. Find distance between their
centres.
3) Draw an angle
of 60o and bisect it.
4) If initial
arm rotates 205o in clockwise direction find the quadrants in which
it lies.
5) Find slope of
line if its equation is y = 3x+5
6) Find volume
of cube of side 7cm.
Q.2)
Solve any Four (8)
1) A ladder 10m
long reaches a window 8m above the ground. Find distance of the foot of ladder
from base of the wall.
2) As shown in Fig. two concentric circles are given and line AB is tangent to the smaller
circle at T. Show that T is the midpoint
of seg AB.
3) From the top of a lighthouse, an observer looks at a ship and finds
the angle of depression to be 60°. If
the height of the lighthouse is 90 metres then find how far is that ship from the lighthouse
4) The surface area of cone with base radius 40cm is 1640cm2. Find
height of cone.
5) Draw a circle
of radius 3.4cm. Take a point K on the circle and draw tangent without using
centre.
6) If the slope of the line joining points (k, -3) and (4, 5) is ½ then
find the value of k.
Q.3.
Solve any Three (9)
1) Adjacent sides of a
parallelogram are 11cm and 17cm. if the length of one of its diagonal is 26cm.
find length of the other diagonal.
2) Prove Pythagoras
Theorem.
3) Construct any right angled triangle
and draw incircle of that triangle.
4) Find possible
values of cosx if cotx + cosecx = 5
5) Find area of
segment if radius is 10cm and Θ= 90o.
Q.4.
Solve any Two (8)
1) ∆SHR ∽ ∆SVU SH = 4.5cm, HR = 5.2cm, SR = 5.8cm SH = 3. Construct ∆SVU SV 5
2) The vertices of a triangle are A(2,3) B(4,9)and C(-2,5). Find
equation of median AD.
3) In the Fig. below, two circles touch each
other internally in a point A. The
radius of the smaller circle with centre
M is 5. The smaller circle passes
through the centre N of the larger
circle. The tangent to the smaller
circle drawn through C intersects the larger circle in point D. Find CD.
Q.5.
Solve any Two (10)
1. Seg AD is the median of∆ ABC and AM ⊥
BC. Prove that AC2 = AD2 + BC× DM + (BC/2)2
2. The angle of elevation of a cloud from a point 60m above a lake is 30o
and the angle of depression of the
reflection of cloud in the lake is 60o. Find the height of the cloud.
3. A semi circular sheet of metal of diameter 28cm is bent into an open
conical cup. Find the depth and capacity of cup.