Home
Class 11
MATHS
A straight line passes through the point...

A straight line passes through the point A(1,2) and makes an angle `theta` with the positive direction of x -axis . Find `theta` given that the distance of A from the point of intersection of this line with the line `x+y=4 "is"(sqrt(6))/(3)` unit.

Text Solution

Verified by Experts

The correct Answer is:
`theta=15^(@)ortheta=75^(@)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Multiple Choice Type Questions)|12 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Very Short Answer Type Questions )|16 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Short Answer Type Questions )|26 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

A straight line passes throught the point P(3,-2) and makes an angle theta with the positive direction of x - axis Find theta , given that the distance of P from the point of intersection of this line with the line 3x+4y=4 is (3sqrt(2))/(5) units.

A straight line passes throught the point (-1,4) and makes an angle 60^(@) with the positive direction of the x- axis . Find the equation of the straight line.

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

The line joining the points (x ,2x)a n d(3,5) makes an obtuse angle with the positive direction of the x-axis. Then find the values of xdot

Determine x so that the line passing through (3,4) and (x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is

A straight line passes through A(1, 2) and makes an angle theta with the positive x axis. This .staight line intersects the straight line x + y = 4 at A_1 . If the distance from A to A_1 is sqrt6/3 ,find the value of theta .

A line passes through(2, 3), makes an angle (pi/4) with the positive direction of x-axis, find the length of line segment cut off between (2, 3) and the line x + y - 7 = 0

A line makes an acute angle with the positive direction of x-axis and passes through the points (6, -7, -1) and (2, -3, 1), find the direction cosines of the line.

CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2A (Long Answer Type Questions )
  1. A straigh line passes through the point (2,3) and is such that the s...

    Text Solution

    |

  2. Two straight lines , drawn through the origin , trisect the portion of...

    Text Solution

    |

  3. A variable straight line AB intersecting the x and y-axies at A and B...

    Text Solution

    |

  4. A straight line passes through the point (2,3) and forms a triangle of...

    Text Solution

    |

  5. A straight line forms a right angled triangle with the axes of coordin...

    Text Solution

    |

  6. The exptrmities of the base of an isosceles triangle have coordinates ...

    Text Solution

    |

  7. Find the ratio in which the straight line 5x+4y=4 divides the join of ...

    Text Solution

    |

  8. A(2,5) and B(-3,-4) are two fixed points , the point P divides the li...

    Text Solution

    |

  9. A straight line has slope (3)/(4) and it passes through the point A(-...

    Text Solution

    |

  10. A straight line passes through the point A(1,2) and makes an angle the...

    Text Solution

    |

  11. Find the equations to the straight lines which are at a distance of 1...

    Text Solution

    |

  12. Show that the line joining the origin and (2,3) is concurrent with the...

    Text Solution

    |

  13. Prove that the straight lines ax+(b+c)y+d=0,bx+(c+a)y+d=0andxc+(a+b)y+...

    Text Solution

    |

  14. Find the condition so that the lines xcosalpha+ysinalpha=p,xcosbeta+ys...

    Text Solution

    |

  15. If ab +bc+ca=0 , show that the lines (x)/(a)+(y)/(b)=(1)/(c),(x)/(b)+(...

    Text Solution

    |

  16. The variable coefficients p,q,r in the equation of the staight line px...

    Text Solution

    |

  17. Show that the area of the triangle formed by the straight lines y...

    Text Solution

    |

  18. A variable straight line through the point of intersection of the two ...

    Text Solution

    |

  19. 3x+2y=8 in this given straight line find the gradient and y intercept.

    Text Solution

    |