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The equation of the straight line joining the origin to the point of intersection of \( \Large y-x+7=0\ and\ y+2x-2=0 \)is:

A) \( \Large 3x+4y=0 \)
B) \( \Large 3x-4y=0 \)
C) \( \Large 4x-3y=0 \)
D) \( \Large 4x+3y=0 \)

Correct Answer:




D) \( \Large 4x+3y=0 \)

Description for Correct answer:
The intersection point of \( \Large y-x+7=0 \) and \( \Large y+2x-2=0 \) is \( \Large \left(3,\ -4\right) \)

Therefore, Equation of straight line joining from origin to the point \( \Large \left(3,\ -4\right) \) is

\( \Large y-0 = \frac{-4}{3} \left(x-0\right) \)

=> \( \Large 3y = -4x => 4x+3y=0 \)

Part of solved Straight lines questions and answers : >> Elementary Mathematics >> Straight lines

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Similar Questions

1). The equation of the straight line which is perpendicular to\( \Large y = x \) and passes through (3, 2) is:

A). \( \Large x-y = 5 \)

B). \( \Large x+y = 5 \)

C). \( \Large x+y = 1 \)

D). \( \Large x-y = 1 \)

2). The angle between the straight lines \( \Large x-y\sqrt{3}=5\ and\ \sqrt{3}x+y=7 \) is:

A). \( \Large 90 ^{\circ} \)

B). \( \Large 60 ^{\circ} \)

C). \( \Large 75 ^{\circ} \)

D). \( \Large 30 ^{\circ} \)

3). The three straight lines \( \Large ax+by=c,\ bx+cy=a\ and\ cx+ay=b \) are collinear if:

A). \( \Large a+b+c = 0 \)

B). \( \Large c+a=b \)

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4). If a tangent to the curve \( \Large y=6x-x^{2} \) is parallel to the line \( \Large 4x-2y-1=0 \) then the point of tangency on the curve is: ' _

A). (6, 1)

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D). (4, 2)

5). Distance between the lines \( \Large 5x+3y-7=0\ and\ 15x+9y+14=0 \) is:

A). \( \Large \frac{35}{\sqrt{34}} \)

B). \( \Large \frac{1}{\sqrt{34}} \)

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6). The equation of the sides of a triangle are \( \Large x-3y=0.\ 4x+3y=5\ and\ 3x+y=0 \). The lines \( \Large 3x-4y=0 \) passage through

A). the incentre

B). the centroid

C). the orthocentre

D). the circumcentre

7). If (-4, -5) is one vertex and \( \Large 7x-y+8=0 \) is one diagonal of a square then the equation of second diagonal is:

A). \( \Large x+3y=21 \)

B). \( \Large 2x-3y=7 \)

C). \( \Large x+7y=31 \)

D). \( \Large 2x+3y=21 \)

8). The number of the straight which is equally inclined to both the axes is

A). 4

B). 3

C). 5

D). 1

9). The line passing. through \( \Large \left(1-\frac{ \pi }{2}\right) \) and perpendicular to \( \Large \sqrt{3} \sin \theta + 2\cos \theta =\frac{4}{r} \), is:

A). \( \Large 2=\sqrt{3}r\cos \theta-2r\sin \theta \)

B). \( \Large 5=2\sqrt{3}r\sin \theta +4r\cos \theta \)

C). \( \Large 2=\sqrt{3}r\cos \theta + 2r\sin \theta \)

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10). If the straight line \( \Large ax+by+c=0 \) always passes through \( \Large \left(1-2\right) \) then abc are

A). in AP

B). in HP

C). in GP

D). none of these