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Linear Equation in two variable . (Question paper )

 

                      * 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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