Conti.......MODEL QUESTIONS FOR SA-1(MATHS)
1.
State whether the
given pair of linear equations are consistent or inconsistent:
a. x + 2y = 4
and 3x - 7y = 9
b. 4x + 3y
= 7 and 8x + 6y = 11
2.
For a rectangle
PQRS , D is a point on PQ such that SD makes an angle of 450 with PS.And PS= 15
cm, SR = 30 cm then find SD, PD and DQ.
3. What
will be the ratio of area of the triangles formed by joining mid points of the
sides of the equilateral triangle? Prove it with the help of appropriate
theorem.
4. Draw the graph of
linear equations and find the area of region formed by
The intersection of lines with X=0 line.
X + Y = 8 and X- Y = 2
5.
Draw the graph of
linear equations and find the area of the triangle formed
by them with Y- axis.
X + Y = 10 and X – Y = 4
6.
PQR is a right angled
triangle, and PRS is also a right angled triangle where
Angle Q= angle R = 900
, PQ = 6cm, QR= 8cm and RS= 5√5 cm find PS.
7.
PQR is a right angled
triangle, and PRS is also a right angled triangle where Angle Q= angle R = 900
then prove that PQ2 +
QR2 +RS2 = PS2
8.
A Ladder is
touches the window which is at the height 20feet from the ground. If the angle formed by the ladder with ground is q , tanq= 4/3 ,find the length of the ladder , the distance
of the ladder from the building and value of q.
9.
Prove that ratio
of two similar triangles is equal to the square of the ratio of their altitudes.
10.
Prove that ratio
of two similar triangles is equal to the square of the ratio of their sides.
11. Solve the
following pair of equations:
8/x-1 + 3/y-2 = 5 and 12/x-1 + 5/y-2 = -2
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