Basics of a straight line - class-X
Description: basics of a straight line | |
Number of Questions: 35 | |
Created by: Amal Dixit | |
Tags: maths straight lines two dimensional analytical geometry coordinate geometry graph introduction to graphs straight lines and quadratic equations banking and taxation sequences, functions and graphs |
If the straight line through the point $P(3,4)$ makes an angle $\cfrac{\pi}{6}$ with the x-axis and meets the line $3x+5y+1=0$ at $Q$, the length $PQ$ is
If $m$ and $b$ are real numbers and $mb > 0$, then the line whose equation is $y = mx + b$ cannot contain the point-
The graph of $\dfrac {7x}{2}=18+\dfrac {4}{5}x-45$ is line____
Find $c$ if the line $cx+5y-3=0$ passes through $(2,1)$
The graph of the equation y = mx is line which always passes through
Equation y = 2x + 5 has
The equation of a line is given by $3x - 2y = 9$ has how many possible solution?
Which of the following is TRUE regarding the graphs of the equations of a linear quadratic system?
The number of triangles that the four lines $y=x+3$, $y=2x+3$, $y=3x+2$, and $y+x=3$ form is?
If sum of distance of a point from two perpendicular lines in a plane is $1$, then its locus is ?
The nearest point on the line $3x-4y=25$ from the origin is
Consider the lines $2x+3y=0$, $5x+4y=7$. Find the intersection point.
Examine whether the point (2, 5) lies on the graph of the equation $3x\, -\, y\, =\, 1$.
State true or false.
$y=2x+3$
Which of the following statements is true about the given line?
Consider the equation of the line :$\displaystyle \frac{x-1}{3}-\frac{y+2}{2}=0$
Consider the line: y= -x +4
Consider the equation of the line $\displaystyle x-3=\frac{2}{5}\left ( y-1 \right )$. Which of the following is correct?
$\displaystyle \frac{x}{2}+\frac{y}{3}=1$
$\displaystyle \frac{x}{4}+\frac{y}{3}=1$
The straight lines given by the equations $\displaystyle x+y=2 , x-2y=5 \ and \ \frac{x}{3}+y=0$ are?
If the line ax + by + c = 0 is such that a = 0 and b, $\displaystyle c\neq 0$ then the line is perpendicular to
Find the equation of a line passing through the point (2, -3 ) and parallel to the line 2x - 3y + 8 = 0
$\dfrac {a}{3} + \dfrac {b}{6} = 1$
If $a$ and $b$ are positive integers in the equation above, then what is the value of $a b$?
If $y$ is directly proportional to $x$ and if $y=20$ when $x=6$, what is the value of $y$ when $x=9$?
If $y=2x+3$ and $x < 2$, which of the following represents all the possible values for $y$?
The graph of equation of the form $ax + by +c=0$ where a, b are non $-$ zero numbers,
represents:
A right-angled triangle is formed by a straight line : $3x-4y=12$ with both the axis. Then length of perpendicular from the origin to the hypotenuse is :
The graph of the function $\displaystyle \cos x.\cos (x+2)-\cos^{2}(x+1)$ is a
Complete the table, to draw the graph of line $2y=3x+2$.
$x:$ | $3$ | $\displaystyle \frac{7}{3}$ | $-2$ |
---|---|---|---|
$y:$ | $y _1$ | $y _2$ | $y _3$ |
Which of the following is true about the three lines
$L _{1}: x - 3y + 7 = 0 , L _{2} : 2x + y - 3 = 0$ and $L _{3} : 7x +\dfrac{7y}{2}-\dfrac{21}{2}=0$
The number of circles that touch all the straight
lines $x+y - 4 = 0, x - y+2 = 0$ and $y = 2$ is
The points (4,0), (0,4), (-4,0), and (0, -4) form
Find the equation of the straight line passing through the point $ (6,2) $ and having slope $ -3 . $
A line passing through (2, 2) is perpendicular to the line $3x+y=3$. Its y intercept is _____________.