Question
The circumference of a circle is 33 cm and the length of
the rectangle is 8 times the radius of the circle. Find the area (in cm2) of the rectangle, if the ratio of length and the breadth of the rectangle is 3:2, respectively.Solution
Let the radius of the circle = ‘r’ cm Circumference of the circle = 2πr 33 = 2 × (22/7) × r r = 5.25 Radius of the circle = 5.25 cm Length of the rectangle = 5.25 × 8 = 42 cm Breadth of the rectangle = (42/3) × 2 = 28 cm Area of the rectangle = 28 × 42 = 1176 cm2
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
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...
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
