Question
A and B are the roots of equation x2 - 13x +
k = 0. If A - B = 5, what is the value of k?Solution
We know that the difference of roots is given by {β(b2 β 4ac)}/a, Here, a = 1, b = -13 and c = k Therefore, A β B = (β(b2 β 4ac))/a 5 = (β((-13)2 β 4 x 1 x k))/1 Squaring both the side we get, 25 = 169 β 4k 4k = 169 β 25 k = 144/4 = 36
The length of a plot is eight times its breadth. A playground measuring 256 square metres occupies half of the total area of the plot. What is the lengt...
- Calculate the diameter of the in-circle of a triangle whose semi-perimeter is 20 cm and its area is 60 cmΒ².
The base of a prism is a triangle with sides 9 cm, 12 cm, and 15 cm, and its height is 20 cm. Find the volume of the prism.
The area of a trapezium is 960 square metres and the parallel sides are 60 m and 36 m. What is the perpendicular distance between these two sides?
If √Μ 1Μ 2Μ -Μ 2Μ √Μ 3Μ 5Μ + √Μ 8Μ +Μ 2Μ √Μ 1Μ 5Μ = √a + √b, where a and b are positive integers, then the value o...
The surface area of the two spheres are in the ratio9:16. Their volumes will be in the ratio
- A right-angled triangle has its smallest median measuring 4.8 cm. Find the hypotenuse.
In a rectangular floor of length and breadth of 19 metres and 6 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the co...
- The ratio of the length to breadth of a rectangular playground is 7:5. If the cost of fencing the playground at the rate of Rs. 4 per metre is Rs. 1920, th...
In an exam of 100 marks, the average marks of a class of 38 students are 72. If the top 3 scorers of the class leave, the average score falls “dow...
Relevant for Exams:
