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
What is the shortest distance between W and Q?
If a person walks 6 m from point P towards east to reach point Q and he turns to his right and walks 8 m to reach point R. Again he turns to his left an...
In which direction is point F with respect to point K?
Shyam walks 10m north from his house, turns left and walks 25m, again turn right and walks 40m, then turns left and walks 5m to reach the school. In whi...
Pawan walks 14 km in south direction then turns towards his right and walks 7 km. Then takes two consecutive left turns of 2 km and 11 km respectively. ...
Point R is 9m to the west of point S. Rajeev starts walking from point S towards east. He walks for 4m and takes a right turn. He further walks for 5m a...
S is in which direction with respect to V?
What is the shortest distance between point M and point N?
Find the shortest distance between Mall and Entry gate?
A man drives 10 km in South direction from his office, then turns towards East and drives 4 km. From there, he turns towards North and drives 7 km. How ...