* Standard: 10th ● Subject: Mathematics *
* Unit Test ● Chapter 1: Linear
Equations*
Marks:
20 Time: 1 hour
.............................................................................................................................
Q.1(A)
Choose the correct option from the alternatives given below. 2
1. 1. To solve x
+ y
= 3
; 3x - 2y
- 4
= 0
by determinant method find D.
(A) 5 (B) 1 (C) -5 (D) -1
2. ax + by = c and mx
+ ny =
d and an
¹ bm then these simultaneous
equations have -
(A) Only one common solution. (B) No solution.
(C) Infinite number of solutions. (D) Only two solutions.
(B) Solve the following sub questions. 2
1.
For simultaneous equations in variables x
and y, Dx = 49, Dy =
- 63,
D =
7 then what is x and y?
2. 3a + 5b = 26 a= 10. So, y = ?
Q.2(A) Complete the following
activity.
2
(B)
Attempt any two sub questions of the following. 4
1.
2. Solve the following
simultaneous equations.
3a
+ 5b
= 26; a +
5b = 22
3.Two
numbers differ by 3. The sum of twice the smaller number and
thrice the greater number is 19.
Find the numbers.
Q.3 Solve any two sub questions of the following. 6
1. The sum of father’s age and twice the age of his son is 70.
If we double
the age of the father and add it to the age of
his son the sum is 95. Find
their present ages.
2.Solve the following equations by Cramer’s
method.
3.The denominator of a fraction is 4 more than twice its numerator.
Denominator becomes 12 times the numerator,
if both the numerator and
the denominator are reduced by 6. Find the fraction
Q.4 Solve any One sub
questions of the following. 4
1. Out of 1900 km, Vishal travelled
some distance by bus and some by
aeroplane. Bus travels with average speed 60 km/hr and the average speed
of aeroplane is 700 km/hr. It takes 5 hours to complete the journey.
Find the
distance, Vishal travelled by bus.
2.
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