The length of the line joining points (x,4) and (-x,3) is...
The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.
4√3
2√6
3√2
2√3
Correct answer is D
d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
x1 = x, x2 = -x, y1 = 4, y2 = 3, d = 7
7 = \(\sqrt{(-x -x)^2 + (3 - 4)^2}\)
7 = \(\sqrt{(-2x)^2 + (-1)^2}\)
7 = ( \(\sqrt{4x^2 + 1}\)
square both sides
7\(^2\) = 4x\(^2\) + 1
collect like terms
4x\(^2\) = 49 - 1
4x\(^2\) = 48
x\(^2\) = \(\frac{48}{4}\)
x\(^2\) = 12
x = √12
x = 2√3
A fair die is tossed twice. What is its smple size? ...
Find the maximum value of \(2 + \sin (\theta + 25)\)....
If \(4x^{2} + 5kx + 10\) is a perfect square, find the value of k...
\(Differentiate f (x) = \frac{1}{(1 - x^2)^5}\) with respect to \(x\)....
Calculate, correct to one decimal place, the angle between 5 i + 12 j and -2 i + 3 j ...
The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N. ...
Evaluate \(\int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x\)....
Marks 0 1 2 3 4 5 Number of candidates 6 4 8 10 9 3 The table above sh...