Intercept of a Straight Line

Q.

Does a parabola have an inverse

Q. The equation of the straight line which passes through the point $P(-4,3)$ such that the portion of it between the $x$-axis and $y$-axis is divided by the point $P$ in the ratio $1:2$ respectively, is

1. $\frac{x}{6}-\frac{y}{9}=1$
2. $\frac{x}{9}-\frac{y}{6}=1$
3. $\frac{y}{9}-\frac{x}{6}=1$
4. $\frac{y}{9}+\frac{x}{6}=1$

Q.

The condition for three lines $a_1$x+$b_1$y+$c_1$ = 0, $a_2$x+$b_2$y+$c_2$ = 0 and $a_3$x+$b_3$y+$c_3$ = 0 , to be concurrent is

$\left|\begin{array}{ccc}{a}_1& b_1& c_1\\ a_2& b_2& c_2\\ a_3& b_3& c_3\end{array}\right|=0$

1. True

2. False

Q. A straight line through origin $O$ meets the lines $3y=10-4x$ and $8x+6y+5=0$ at points $A$ and $B$ respectively. Then $O$ divides the segment $AB$ in the ratio:

1. $4:1$
2. $3:4$
3. $2:3$
4. $1:2$

Q. If $a,c,b$ are in G.P. and the area formed by the coordinate axes and the line $ax+by+c=0$ is $A\text{sq. units},$ then the value of $4A$ is

Q.

The straight lines 2x+3y-12 = 0, x+y-5 = 0 and x-2y+1 = 0 are concurrent.

1. True

2. False

Q.

Three lines

$L_1$ : x-y+6 = 0

$L_2$ _: 2x+y-3 = 0

$L_3$ : x-2y+m = 0 are given. Which of the following can be the value of m if $L_1$_, $L_2$ and $L_3$ form a triangle.

1. 10

2. 11

3. 12

4. 13

Q. The equation of the straight line which passes through the point $P(-4,3)$ such that the portion of it between the $x$-axis and $y$-axis is divided by the point $P$ in the ratio $1:2$ respectively, is

1. $\frac{x}{6}-\frac{y}{9}=1$
2. $\frac{x}{9}-\frac{y}{6}=1$
3. $\frac{y}{9}-\frac{x}{6}=1$
4. $\frac{y}{9}+\frac{x}{6}=1$

Q. Slope of a line which cuts intercepts of equal lengths on the axes is

1. $-1$
2. $0$
3. $2$
4. $\sqrt{3}$

Q.

Three lines

$L_1$ : x-y+6 = 0

$L_2$ _: 2x+y-3 = 0

$L_3$ : x-2y+m = 0 are given. Which of the following can be the value of m if $L_1$_, $L_2$ and $L_3$ form a triangle.

1. 10

2. 11

3. 12

4. 13

Q.

ax + by = ab is the equation of a straight line which makes intercepts a & b on x & y axis respectively. State True or False.

1. True

2. False

Q.

A line passes through points $\left(-2,1\right)$ and $\left(4,3\right)$ where does the line intersect the $x$ axis and the $y$ axis.

Q. The slope of the straight line passing through A(3, 2) is $\frac{3}{4}$. The coordinates of the points that are 5 units away from A are:

1. (7, 5)
2. (-1, -1)
3. (-7, -5)
4. (1, 1)

Q. The equation of line passing through $(3,4)$ and parallel to $5x+9y+12=0$ is

1. $5x-9y+51=0$
2. $5x-9y-51=0$
3. $5x+9y+51=0$
4. $5x+9y-51=0$