Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Also find the coordinates of the points where the graphs of the equations meet the Y-axis. Solution: By plotting the points and joining them, the lines do not intersect anywhere, i. Therefore given pair of equations is not consistent, i. Question 7. Solution: Since both the lines coincide. Therefore infinitely many solutions. Question 8.
Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis. Solution: By plotting the points and joining them, the lines intersect at A 6, 0. Question 9. Question Find the two numbers whose sum is 75 and difference is Find their incomes. 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 Find the number.
The age of the father is twice the sum of the ages of his 2 children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father. A two digit number is seven times the sum of its digits.
The number formed by reversing the digits is 18 less than the given number. Find the given number. Sita Devi wants to make a rectangular pond on the road side for the purpose of providing drinking water for street animals.
The area of the pond will be decreased by 3 square feet if its length is decreased by 2 ft. Its area will be increased by 4 square feet if the length is increased by 1 ft. Find the dimensions of the pond. On reversing the digits of a two digit number, number obtained is 9 less than three times the original number. If difference of these two numbers is 45, find the original number. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes.
Find the speed of the stream. The taxi charges in city comprises of fixed charges together with the charge for the distance covered. What will a person have to pay for travelling a distance of 30 km? A boat takes 4 hours to go 44 km downstream and it can go 20 km upstream in the same time. Find the speed of the stream and that of the boat in still water. A man travels km partly by train and partly by car. He takes 4 hours if the travels 60 km by train and the rest by car.
If he travels km by train and the remaining by car, he takes 10 minutes longer. Find the speeds of the train and the car separately.
What will a person have to pay for travelling a distance of 32 km? Therefore, Area of triangle formed by the lines with y-axis. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis. Represent this situation in the form of a pair of linear equations. Find the price of one pencil and that of one chocolate graphically. As per the Question, Lines intersect at 1, 3. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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