MCQ
The angle between the lines $2x - y + 3 = 0$ and $x + 2y + 3 = 0$ is:
- ✓$90^\circ$
- B$60^\circ$
- C$45^\circ$
- D$30^\circ$
✓
Answer
Correct option: A.
$90^\circ$
Let $m_1$ and $m_2$ be the slope of the lines $2x - y + 3 = 0$ and $x + 2y + 3 = 0,$ respectively.
Let $\theta$ be the angle between them.
Here, $m_1= 2$ and $\text{m}_2=-\frac{1}{2}$
$\because\text{m}_1\text{m}_2=-1$
Therefore, the angle between the given lines is $90^\circ .$
Let $\theta$ be the angle between them.
Here, $m_1= 2$ and $\text{m}_2=-\frac{1}{2}$
$\because\text{m}_1\text{m}_2=-1$
Therefore, the angle between the given lines is $90^\circ .$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The vertex of a parabola is the point $(a, b)$ and latus rectum is of length $l$. If the axis of the parabola is along the positive direction of $y$ - axis, then its equation is
→Number of natural solutions of the equation $x_1 + x_2 = 100$ , such that $x_1$ and $x_2$ are not multiple of $5$
→A fair dice is rolled n times. The number of all the possible outcomes is
Let for the $9^{\text {th }}$ term in the binomial expansion of $(3+6 x)^{n}$, in the increasing powers of $6 x$, to be the greatest for $x=\frac{3}{2}$, the least value of $n$ is $n_{0}$. If $k$ is the ratio of the coefficient of $x ^{6}$ to the coefficient of $x ^{3}$, then $k + n _{0}$ is equal to.
→If $f(x) = x^{100} + x^{99} ....... + x + 1,$ then $f(1)$ is equal to:
→The number of terms in the expansion of $(a_1 + b_1) (a_2 + b_2) ..... (a_n + b_n)$.
→The sum of the series $\frac{1}{\log_24}+\frac{1}{\log_44}+\frac{1}{\log_84}+\ ...\ +\frac{1}{\log_2{^\text{n}4}}\text{ is}:$
→The inequality representing the following graph is:
The statement “If $x^2$ is not even, then $x$ is not even” is converse of the statement.
→If $a,\;b,\;c$ are the positive integers, then $(a + b)(b + c)(c + a)$ is
→