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

Given three straight lines `2x+11 y-5=0,24 x+7y-20=0,` and `4x-3y-2=0` . Then, they form a triangle one line bisects the angle between the other two two of them are parallel

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-STRAIGHT LINES-Exercise (Multiple)
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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. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

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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 the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

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  8. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))]= 1/(2(1+x)sqrt(x)) (b) 3/((1+...

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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 concur...

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

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  16. The equation of the line on which the perpendicular from the origin ma...

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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. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

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  20. Three lines px + qy+r=0, qx + ry+ p = 0 and rx + py + q = 0 are concur...

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