Question
I. x2 + 13x + 42 = 0 II. y² + 13y
+ 40 = 0 In each of the following questions, there are two equations. You have to solve both equations and mark the correct answer.Solution
I. x2 + 13x + 42 = 0 => x2 + 7x + 6x + 42 = 0 => x(x + 7) + 6(x + 7) = 0 => (x + 7) (x + 6) = 0 => x = -7, -6 II. y² + 13y + 40 = 0 => y2 + 8y + 5y + 40 = 0 => y(y + 8) + 5(y + 8) = 0 => (y + 8) (y + 5) = 0 => y = -8, -5 Hence, the relationship cannot be established between x and y.
A parallelogram has diagonals of lengths 24 cm and 18 cm. The angle between the diagonals is 60°. Find the area of the parallelogram.
What will be come in place of (?) in the given number series.
2, 6, 18, 54, ?, 486Find the area of a figure consisting of a rectangle with length 8 cm and width 5 cm, and a semicircle with a diameter equal to the width of the rectangl...
(749.98% of 639.897) ÷ 23.97 = ?2 - 279.98% of 19.99
A cuboidal room has dimensions of 15 meters, 12 meters, and 8 meters. The area of each sidewall exceeds the area of the front wal...
In a trapezium, the lengths of the two parallel sides are 24 cm and 18 cm, and the distance between them is 16 cm. Find the length of the midsegment (li...
An unknown number is first multiplied by 111 and then 63 is added to it. When the resultant number is divided by 9, the quotient and remainder obtained ...
If the perimeter of a square measures 92 cm, what is the area of the square?
A fraction increases by 35% when 25 is added to its numerator and its denominator is multiplied by 10. What is the numerator of the original fraction?
In a cyclic quadrilateral, the diagonals intersect at an angle of 60°. If the sides of the quadrilateral are 6 cm, 8 cm, 10 cm, and 12 cm, what is the ...
Relevant for Exams:
