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A straight line drawn through the point `P(2,3)` and is incline at an angle of `30^0` with the x-axis. Find the coordinates of two points on it a distance 4 from `P` on either side of `Pdot`

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The correct Answer is:
`(2+2sqrt(3),4)and (2-sqrt(3),0)`
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ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 1
  1. Find the distance of the point (3, 5) from the line 2x + 3y = 14 measu...

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  2. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

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  3. If each of the points (x-1,4),(-2,y1) lies on the line joining the poi...

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  4. The equation of the straight line passing through the point (4. 3) and...

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  5. If the straight lines ax+by+c=0 and x cos alpha +y sin alpha = c enclo...

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  6. The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

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  7. (i) Find the gradient of a straight line which is passes through the p...

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  8. A square of side a lies above the X- axis and has one vertex at the or...

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  9. A(1,3)and C(7,5) are two opposite vertices of a square. The equation o...

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  10. Find the equation of a straight line passing through the point (-5,4) ...

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  11. Equation to the straight line cutting off an intercept 2 from negative...

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  12. What is the value of y so that the line through (3, y)a n d\ (2,7) is ...

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  13. A straight line drawn through the point P(2,3) and is incline at an an...

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  14. If the straight line through the point (3,4) makes an angle pi/6 with ...

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  15. The distance of a point (2,3) from the line 2x -3y + 9 = 0 measured a...

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  16. A line is such that its segment between the lines 5x y + 4 = 0and 3x...

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  17. The sides AB and AC of a triangle ABC are respectively 2x+3y= 29 and x...

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  18. A straight line through A (-15 -10) meets the lines x-y-1=0, x+2y=5 an...

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