Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:The area of rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units.If we increase the length by 3 units and the breadth by 2 units,the ares increases by 67 square units.Find the dimensions of the rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method: A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator.Find the fraction.

Work Problem on Geometry In a rectangle the length is increased and breadth is reduced by 2m , the area reduced by 28 sq.m. Find the dimension of the rectangle.

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(i)If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.It becomes 1/2 if we only add 1 to the denominator.What is the fraction?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:Places A and B are 100km apart on a highway.One car starts from A and another from B at the same time.If the car travel in the direction at different speeds,they meet in 5 hours.If they travel towared each other,they meet in 1 hour .What are the speeds of the two cars?

Work Problem on Geometry The area of a rectangle remains the same if the length is increased by 7m and breadth decreased by 5m . Determine the dimension of the rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.

Form the pair of linear equations for the following problems and find their solutions by substitution method.(iii) The coach of a cricket team boys 7 bats and 6 balls for ₹3800.Later she boys 3 bats and 5 balls for ₹1750.Find the cost of each bat and each ball.

Work Problem on Geometry The perimeter of a rectangular field is 80 m. If the length of the field id decreased by 2m and breadth is increased by 3 m, then the area of the field is increased by 64 sq.m. Find the dimension of the field.

Form the pair of linear equations for the following problems and find their solutions by substitution method.(v)A fraction becomes 9/11,if 2 is added to both the numerator and the denominator.If 3 is added to both the numerator and the denominator it becomes 5/6.Find the fraction.

The centre of a circle is the point (3, 2) and it makes an intercept of length 5 units on the X-axis. Find the equation of the circle.