Question
In a quadrilateral ABCD, the diagonals AC and BD
intersect at O. If AO = 8 cm, OC = 12 cm, BO = 6 cm, and OD = 9 cm, find the area of the quadrilateral using the formula for the area of a cyclic quadrilateral.Solution
To find the area of quadrilateral ABCD where diagonals AC and BD intersect at O, and the quadrilateral is cyclic or the diagonals are perpendicular, use the formula:
Compute the diagonals:
Substitute into the formula:
The area of the quadrilateral is 150 cm².
I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
Equation 1: x² - 120x + 3500 = 0
Equation 2: y² - 110y + 3025 = 0
Find the coefficient of x³ in (2x − 3)⁶.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 22x + 120 = 0
Equation 2: y² - 25y + 144 = 0
Find the value of 'x' and 'y' in the following equation:
7x - 2y = 46
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x² - 8x + 15 = 0 ...
l. 3x2 + 17x + 24 = 0
II. 2y2 + 15y + 27 = 0
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. x
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
