Find correct to the nearest degree, the acute angle forme...
Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6
76∘
53∘
37∘
14∘
Correct answer is C
| tanθ | = | m1 - m2
1 + m1m2 |
y = 2x + 5
m1 = 2
2y = x - 6
| y | = | 1
2 |
x | - | 3 |
| m2 | = | 1
2 |
| tanθ | = | 2 - 12
1+2(12) |
tanθ = 32 ÷ (1+1)
tanθ = 32 ÷ 2
| tanθ | = | 3
4 |
θ = tan−1(34)
θ = 36.87º
θ = 37º
If \(\begin{pmatrix} 3 & 2 \\ 7 & x \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \be...
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0. ...
Given that the straight lines kx−5y+6=0 and mx+ny−1=0 are parallel, find a relat...
The gradient ofy= 3x2 + 11x + 7 at P(x.y) is -1. Find the coordinates of P. ...
Find the least value of n for which 3nC2>0,n∈R...
Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- componen...