Question
I. 12x2 - 55x + 63 = 0 II.
10y2 - 47y + 55 = 0 In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer among the following options.Solution
I. 12x2 - 27x - 28x + 63 = 0 3x(4x - 9) - 7(4x - 9) = 0 (3x - 7) (4x - 9) = 0 x = 9/4, 7/3 II. 10y2 - 47y + 55 = 0 10y2 - 22y - 25y + 55 = 0 2y (5y - 11) - 5(5y - 11) = 0 (2y - 5)(5y - 11) = 0 y = 5/2, 11/5 Hence, relationship cannot be established between x and y.
Sum of diameter and circumference of a circle is 232 cm, the find area of circle.
In the given diagram, point 'O' represents the center of a circle, while AB and DE are two distinct chords within the circle. The line segment OC is per...
- A rhombus has an area of 2,592 cm² and its diagonals are in the ratio 5:3. A circle is drawn with the shorter diagonal of the rhombus as its diameter. Cal...
- The diagonals of a rhombus are in the ratio 7:5, and its area is 3,500 cm². A circle is formed taking the smaller diagonal as the diameter. Find the diffe...
Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, ...
- The area of a rhombus is 1,600 cm², and the lengths of its diagonals are in the ratio 5:4. A circle is constructed with the smaller diagonal as the diamet...
Find the area of largest square that can be inscribed in a circle of radius ‘r’.
If the radius of a circle is 15 cm, then which of the following is true regarding the length of the chord (L)?
- The area of a circle is nine times its circumference (numerically). What is the diameter of the circle?
Two circles of radii 15 cm and 10 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centers O ₁ and...