Question
Each side of square ‘A’ is 4 cm less than that of
square ‘B’. The perimeter of a rectangle is 3 times the difference of the perimeters of the two square. If the length of the rectangle is 15 cm, then find its breadth.Solution
Let each side of the square ‘A’ be ‘a’ cm Therefore, each side of square ‘B’ = (a + 4) cm Difference between their perimeters = 4(a + 4) – 4a = 16 cm Therefore, perimeter of the rectangle = 3 × 16 = 48 cm Let the breadth of the rectangle be ‘b’ cm According to the question, 2 × (15 + b) = 48 Or, 15 + b = 24 Or, b = 9 cm
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I: x2 - 33x + 242 = 0
II: y2 - 4y - 77 = 0
I. 2y2 + 31y + 99 = 0
II. 4x2 + 8x – 45 = 0
- Determine the remainder when equation 4p³- 5p² + 2p + 1 is divided by (4p - 3).
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 5x + 6 = 0
Equation 2: y² - 7y + 12 = 0
I. 12x2 + 22x + 8 = 0
II. 4y2 - y − 3 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 17x² - 94x + 120 = 0
Equation 2: 13y² - 45y + 13...
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...