CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 7 (For CBSE, ICSE, IAS, NET, NRA 2023)
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2 Mark Questions
Question 1:
Half the perimeter of a rectangle garden, whose length is more than its width, is . Find the dimensions of the garden.
Answer:
Let length of rectangular garden metres
Let width of rectangular garden metres
According to given conditions, perimeter
And
Adding eq. (i) and (ii) ,
Subtracting eq. (ii) from eq. (i) ,
Hence, length = 20 m and width = 16 m
Question 2:
Draw the graphs of the equations and . Determine the coordinates of the vertices of the triangle formed by these lines and the axis and shade the triangular region.
Answer:
For equation , we have following points which lie on the line
For equation , we have following points which lie on the line
We can see from the graphs that points of intersection of the lines with the x – axis are and .
Question 3:
The age of two friends Ani and Biju differ by years. Ani՚s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by years. Find the ages of Ani and Biju.
Answer:
Let the age of Ani and Biju be years and years, respectively.
Age of Dharam years and Age of Cathy years
According to question,
And
Subtracting (1) from (2) , we obtain
Age of Ani years
Age of Biju years Again, According to question,
And
Adding (3) and (4) , we obtain:
Age of years Age of Biju years