Question
How many lines through the origin in make equal angles with the coordinate axis:

Answer

  1. 8

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Similar questions

Objective function of a LPP is:
Direction ratio of line joining (2, 3, 4) and (-1, -2, 1), are:
  1. (-3, -5, -3)
  2. (-3, 1, -3)
  3. (-1, -5, -3)
  4. (-3, -5, 5)
Choose the correct answer from the given four options.
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).
Let F = 4x + 6y be the objective function.
The Minimum value of F occurs at.
  1. (0, 2) only.
  2. (3, 0) only.
  3. The mid point of the line sgment joining the points (0, 2) and (3, 0) only.
  4. Any point on the line segment joining the points (0, 2) and (3, 0).
If $\text{y}=\sin(\text{m}\sin^{-1}\text{x}),$ then $(1-\text{x}^2)\text{y}_2-\text{xy}_1$ is equal to:
Find the principal values of: $\sec ^{-1}\left(\frac{-2}{\sqrt{3}}\right)$
If $\text{x }\epsilon\Big(-\frac{\pi}{2},\frac{\pi}{2}\Big),$ then the value of $\tan^{-1}\Big(\frac{\tan\text{x}}{4}\Big)+\tan^{-1}\Big(\frac{3\sin2\text{x}}{5+3\cos2\text{x}}\Big)$ is:
  1. $\frac{\text{x}}{2}$
  2. 2x
  3. 3x
  4. x
Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.
  1. R is reflexive and symmetric but not transitive.
  2. R is reflexive and transitive but not symmetric.
  3. R is symmetric and transitive but not reflexive.
  4. R is an equivalence relation.
Let $\vec{a}$ and $\vec{b}$ are unit vectors enclosing an angle $\theta$ and $|\vec{a}+\vec{b}| < 1$. Which of the following is true?
$(i) \theta=\frac{\pi}{2}$
$(ii) \theta < \frac{\pi}{3}$
$(iii) \pi \geq \theta > \frac{2 \pi}{3}$
$(iv) \cos \theta < -\frac{1}{2}$
If the area above the $x-$axis, bounded by the curve $y = 2kx$ and $x = 0,$ and $x = 2$ is $\frac{3}{\log_{\text{e}}2},$ then the value of $k$ is:
The area of the region $($in square units$)$ bounded by the curve $x^2 = 4y$, line $x = 2$ and $x-$axis is: