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Three straight lines 2x+11y - 5 = 0 , 2...

Three straight lines `2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y - 2 = 0 `

A

they from a triangle

B

they are concurrent

C

one line bisects the angle between the other two

D

two of them are parallel

Text Solution

Verified by Experts

The correct Answer is:
C
For the two lines 24x+7y-20=0 and 4x-3y-2=0, the angle bisectors are given by
`(24x+7y-20)/(25) =+-(4x-3y-2)/(5)`
Taking positive sign, we get
2x+11y-5=0
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CENGAGE PUBLICATION-STRAIGHT LINES-EXERCISE (MULTIPLE CORRECT ANSWERS TYPE)
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  2. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

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  3. Three straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y ...

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  4. A triangle is formed by the lines whose equations are AB: x+y-5=0, BC:...

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  5. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),(((b^2...

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  6. Two sides of a rhombus OABC ( lying entirely in first quadrant or four...

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  7. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  8. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . An...

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  9. The equation of the lines passing through the point (1,0) and at a dis...

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  10. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

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  11. If the straight line a x+c y=2b , where a , b , c >0, makes a triangle...

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  12. Consider the equation y-y1=m(x-x1) . If ma n dx1 are fixed and differe...

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  13. Equation(s) of the straight line(s), inclined at 30^0 to the x-axis su...

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  14. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are ...

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  15. The equation of a straight line passing through the point (2, 3) and ...

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  16. Find the equation of a straight line on which the perpendicular from ...

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  17. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

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  18. If x-2y+4=0a n d2x+y-5=0 are the sides of an isosceles triangle having...

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  19. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x...

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  20. The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then

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