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Angle made with the x-axis by a straight...

Angle made with the x-axis by a straight line drawn through (1, 2) so that it intersects `x+y=4` at a distance `(sqrt(6))/3` from (1, 2) is `105^0` (b) `75^0` (c) `60^0` (d) `15^0`

A

`105^(@)`

B

`75^(@)`

C

`60^(@)`

D

`15^(@)`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
  1. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  2. If 2p is the length of perpendicular from the origin to the lines x/a+...

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  3. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

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  4. The distance of the point (1,2,3) form the coordinate axes are A,B and...

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  5. Find the tangent of the angel between the lines whose intercepts n the...

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  6. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  7. Number of lines that can be drawn through the point (4,-5) so that its...

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  8. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

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  9. If p(1) and p(2) are the lengths of the perpendicular form the orgin t...

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  10. A point moves so that the distance between the feet ofperpendiculars d...

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  11. The range of value of alpha such that (0,alpha) lies on or inside the ...

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  12. If P is a point (x ,y) on the line y=-3x such that P and the point (3,...

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  13. If the line y l=sqrt(3)x cuts the curve x^2=y^2+3x y+5x^2+3y^2+4x+5y-1...

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  14. The equation of a straight line, which passes through the point (a,0) ...

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  15. P(m, n) (where m, n are natural numbers) is any point in the interior ...

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  16. Find the distance between the parallel lines 3x 4y + 7 = 0and3x 4y ...

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  17. The value of h for which the equation 3x^2+2hxy-3y^2-40x+30y-75=0 repr...

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  18. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

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  19. The slopes of lines represented by x^2+2hxy+2y^2=0 are in the ratio 1:...

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  20. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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