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GradeSlope of a Straight Line

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Find the slope of the line

i) Which bisects the first quadrant

ii) Which makes an angle of \[{{30}^{\circ }}\] with the positive direction of y-axis measured anti-clockwise

i) Which bisects the first quadrant

ii) Which makes an angle of \[{{30}^{\circ }}\] with the positive direction of y-axis measured anti-clockwise

Find the value of x so that the inclination of the line joining the points (x, -3) and (2, 5) is \[{{135}^{\circ }}\].

Find the slope of a line whose inclination is

A) \[{{45}^{\circ }}\]

B) \[{{60}^{\circ }}\]

C) \[{{150}^{\circ }}\]

A) \[{{45}^{\circ }}\]

B) \[{{60}^{\circ }}\]

C) \[{{150}^{\circ }}\]

Slope of the line touching both parabolas \[{y^2} = 4ax\] and \[{x^2} = - 32y\] is

A.\[\dfrac{1}{2}\]

B.\[\dfrac{3}{2}\]

C.\[\dfrac{1}{8}\]

D.\[\dfrac{2}{3}\]

A.\[\dfrac{1}{2}\]

B.\[\dfrac{3}{2}\]

C.\[\dfrac{1}{8}\]

D.\[\dfrac{2}{3}\]

A straight line goes through the points (p,q) and (r,s), where p + 2 = r, q + 4 = s. Find the gradient of the line.

The slope of the straight line which does not intersect the $x - axis$ is equal to

$\eqalign{

& 1)\dfrac{1}{2} \cr

& 2)1 \cr

& 3)\sqrt 3 \cr

& 4)0 \cr} $

$\eqalign{

& 1)\dfrac{1}{2} \cr

& 2)1 \cr

& 3)\sqrt 3 \cr

& 4)0 \cr} $

The straight lines $x + y = 0$, $3x + y - 4 = 0$, $x + 3y - 4 = 0$ form a triangle which is

1) Isosceles

2) Equilateral

3) Right Angled

4) None of these

1) Isosceles

2) Equilateral

3) Right Angled

4) None of these

Draw the graph for the linear equation: $x=-2y$.

A.The line passes through $\left( 0,0 \right)$ and $m=\dfrac{1}{2}$.

B. the line passes through $\left( 0,-2 \right)$ and $m=-\dfrac{1}{2}$.

C. The line passes through $\left( 0,0 \right)$ and $m=-\dfrac{1}{2}$.

D. the line passes through $\left( -2,0 \right)$ and $m=-\dfrac{1}{2}$.

A.The line passes through $\left( 0,0 \right)$ and $m=\dfrac{1}{2}$.

B. the line passes through $\left( 0,-2 \right)$ and $m=-\dfrac{1}{2}$.

C. The line passes through $\left( 0,0 \right)$ and $m=-\dfrac{1}{2}$.

D. the line passes through $\left( -2,0 \right)$ and $m=-\dfrac{1}{2}$.

The perpendicular from the origin to the line $y=mx+c$ meets it at the point $\left( -1,2 \right)$. Find the values of m and c?

Find the equation of line joining points \[\left( { - 2,3} \right)\] and \[\left( {1,4} \right)\].

What is the formula of a line that is perpendicular to $y = \dfrac{1}{3}x + 9$ and includes the point $\left( {3,4} \right)$ ?

(A) $y = \dfrac{1}{3}x + 5$

(B) $y = - \dfrac{1}{3}x + 13$

(C) $y = 3x + 5$

(D) $y = - 3x + 5$

(E) $y = - 3x + 13$

(A) $y = \dfrac{1}{3}x + 5$

(B) $y = - \dfrac{1}{3}x + 13$

(C) $y = 3x + 5$

(D) $y = - 3x + 5$

(E) $y = - 3x + 13$

Points A and B are in the first quadrant. Point \[O\] is the origin. If the slope of \[{OA}\] is \[1\] , the slope of \[{OB}\] is \[7\] and \[OA = OB\] then what is the slope of \[{AB}\]?

A). \[- \dfrac{1}{5}\]

B). \[- \dfrac{1}{4}\]

C). \[- \dfrac{1}{3}\]

D). \[- \dfrac{1}{2}\]

A). \[- \dfrac{1}{5}\]

B). \[- \dfrac{1}{4}\]

C). \[- \dfrac{1}{3}\]

D). \[- \dfrac{1}{2}\]

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