Question
The ratio between the number of sides of two regular
polygon is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons are respectively:Solution
Let number of side of first polygon = x & that of 2nd polygon = 2x ; then ratio of their interior angles = I(1): I(2) = 2:3 or (180 - E1):(180-E2) = 2:3 or 540 - 3E1 = 360 -2E2 oe 3E1 - 2E2 = 540-360 = 180 or 3(360/x) - 2(360/2x) = 180 or 1080/x -360/x = 180 or 720/x = 180 or x = 720/180 = 4
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
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