SSC Papers for Practice Geometry Maharashtra Board
Q.1)
Solve any Five (5)
1) ∆ABC ~ ∆XYZ. If ∠A = 45o.
Find ∠X.
2) ∆ABC ∠B = 90o.
AC = 5, AB = 4. Find BC.
3) In ABC PQ ||
BC. If AP:PB = 5:7 find AQ:QC
4) Find slope of
line having inclination of 30o.
5) Draw a
segment BC of length 5cm and bisect it.
6) Find slope of
point (3,4) and (2,1)
Q.2)
Solve any Four (8)
1) In the figure point Q is on
the side MP such that MQ = 2 and MP = 5.5. Ray NQ is the bisector of ∠MNP. Find
MN:NP.
2) Check whether
12,35,37 are sides of right angled triangle.
3) Find the length of altitude of an equilateral triangle each side
measuring a units
4) Check whether following points are collinear P(1,-2), Q (2,-1) and R (3,0)
5) Draw a circle
of radius 3.4cm. Take a point K on the circle and draw tangent using centre.
6) Find equation
of line passing through P(-3,-7) and m = 1/2
Q.3.
Solve any Three (9)
1) In the adjoining figure, ∠LMN = 90o and ∠LKN = 90o,
MK ⊥ LN. Prove that R
is the midpoint of seg MK.
2) Prove Basic
Proportionality-theorem.
3) Draw; the circumcircle of ∆PMT in which PM = 5.4 cm, ∠P = 60°, ∠M = 70°.
4) Draw a circle with centre P and
radius 5.1 cm. Draw a chord MN of length 5.8 cm. Draw tangents to the circle
through points M and N.
5) Find k if
PQ||RS where P(2,4) Q(3,6) R(8,1) and S (10,k)
Q.4.
Solve any Two (8)
1) Find equation of line passing through
(2,-1) and parallel to 3x + 4y = 10
2) Draw a tangent to the circle with centre ‘O’ and radius 5.5 cm from
a point A such that d(O, A) = 7.5 cm. Measure the length of tangent segments.
3) Prove that sum of squares of sides of rhombus
is equal to sum of squares of their diagonals.