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The equation of a straight line passing through the point (2, 3) and inclined at an angle of `tan^(-1)(1/2)` with the line `y+2x=5` `y=3` (b) `x=2` `3x+4y-18=0` (d) `4x+3y-17=0`

A

y=3

B

x=2

C

3x+4y-18=0

D

4x+3y-17=0

Text Solution

Verified by Experts

The correct Answer is:
B, C
Let the slope of required line be m. Then
`(1)/(2) = |(m-(-2))/(1+(-2)m)|`
`"or " m=-(3)/(4) " and " oo`
Hence, the equation of line is y-3=-(3/4) (x-2) and x=2.
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CENGAGE ENGLISH-STRAIGHT LINES-EXERCISE (MULTIPLE CORRECT ANSWERS TYPE)
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  2. The equation of the lines passing through the point (1,0) and at a dis...

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

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

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

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

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

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

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

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

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

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

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  14. theta1 and theta2 are the inclination of lines L1 and L2 with the x-ax...

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  15. Consider the lines L(1) -=3x-4y+2=0 " and " L(2)-=3y-4x-5=0. Now, choo...

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  16. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

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  17. Two straight lines u=0a n dv=0 pass through the origin and the angle b...

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  18. Let u-=a x+b y+a b3=0,v-=b x-a y+b a3=0,a ,b in R , be two straight l...

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  19. Two sides of a triangle are parallel to the coordinate axes. If the ...

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  20. A line which makes an acute angle theta with the positive direction of...

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