Solve graphically, the pair of linear equations x-y=-1 and 2x+y-10=0. Also, find the vertices of the triangle formed by these lines and X-axis.

4

(a)

Solve graphically, the pair of linear equations 3x+y-11=0,x-y-1=0. Also, find the vertices of the triangle formed by these lines and Y-axis.

4

(a)

Two straight paths are represented by the lines 7x-5y=3 and 21x-15y=5. Check whether the paths cross each other.

4

(a)

The sum of the digits of a two-digit number is 8 and the difference between the number and that formed by reversing the digits is 18. Find the number.

4

(a)

The area of a rectangle gets reduced by 80 sq units, if its length is reduced by 5 units and the breadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units, then the area is increased by 50 q units. Find the length and the breadth of the rectangle.

4

(a)

Sheena went to a bank to withdraw Rs.1000 and asked the cashier to give her Rs.100 and Rs.50 notes only. She got 14 notes in all. Find how many notes of Rs.100 and Rs. 50 she received?

4

(a)

8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken to finish the work by one man alone. 

4

(a)

Reduce the following pair of equations into a pair of linear equations and solve them
\(\frac { 2xy }{ x+y } =\frac { 3 }{ 2 } ,\quad \frac { xy }{ 2x-y } =\frac { -3 }{ 10 } ;\quad x+y\neq 0,\quad 2x-y\neq 0\)

4

(a)

Given the linear equation 2x+3y-8=0, write another linear equation in two variables such that the geometrical representation of the pair so formed is
(i) intersecting lines.
(ii) Parallel llines.
(ii) coincident lines.

4

(a)

The coach of a cricket team buys 3 bats and 6 balls for Rs 3,900. Later, she buys another bat and 2 more balls of the same kind for Rs 1,300. Represent this situation algebraically and geometrically,

4

(a)