Home
Class 12
MATHS
A line passing through the point of inte...

A line passing through the point of intersection of x + y = 4 and x - y = 2 makes and angle `"tan"^(-1)(3)/(4)` with the x - axis . It intersects the parabola `y^(2) = 4 ( x - 3 ) ` at points ` (x_(1) ,y_(1))` and `(x_(2), y_(2))` respectively . then `|x_(1) - x_(2)|` is equal to _

A

`(16)/(9)`

B

`(32)/(9)`

C

`(40)/(9)`

D

`(80)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2015)|5 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2012)|18 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

If a straight line passing through the focus of the parabola x ^(2) =4ay intersects the parabola at the points (x_(1) , y_(1)) and (x_(2), y_(2)) then the value of x_(1)x_(2) is-

Find the straight line passing through the point of intersection of 2x+3y+5=0,5x-2y-16=0 , and through the point (-1,3)dot

Show that the equation of the chord of the parabola y^(2) = 4ax through the points (x_(1),y_(1)) and (x_(2),y_(2)) on it is (y-y_(1))(y-y_(2)) = y^(2) - 4ax

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

If a straight line passing through the focus of the parabola y^(2) = 4ax intersectts the parabola at the points (x_(1), y_(1)) and (x_(2), y_(2)) , then prove that x_(1)x_(2)=a^(2) .

For the variable t , the locus of the points of intersection of lines x - 2y = t and x + 2y = (1)/(t) is _

If a circle passes through the point of intersection of the lines x+ y +1=0 and x+ lambda y-3=0 with the coordinate axis, then find the value of lambda .

If a straight line pasing through the focus of the parabola y^(2) = 4ax intersects the parabola at the points (x_(1), y_(1)) and (x_(2) , y_(2)) then prove that y_(1)y_(2)+4x_(1)x_(2)=0 .

If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four points P(x_1, y_1),Q(x_2, y_2),R(x_3, y_3), and S(x_4, y_4), then

Find the point of intersection of the curves y= 2x^2-x+1 and y=3x+4 whose slopes of tangents are equal.

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2013)
  1. A point P lies on the circle x^(2) + y^(2) = 169 . If Q = (5 , 12) ...

    Text Solution

    |

  2. A circle passing through (0,0) , (2 6) , (6 ,2) cuts the x axis at the...

    Text Solution

    |

  3. The locus of the midpoints of the chords of an ellipse x^(2) + 4y^(2)...

    Text Solution

    |

  4. A point moves so that the sum of squares of its distances from the poi...

    Text Solution

    |

  5. For the variable t , the locus of the points of intersection of lines ...

    Text Solution

    |

  6. If the distance between the foci of an ellipse is equal to the length ...

    Text Solution

    |

  7. For the variable t, the locus of the point of intersection of the line...

    Text Solution

    |

  8. If a , b , c are in A . P ., then the straight line ax + 2 by + c =...

    Text Solution

    |

  9. If one end of a diameter of the circle 3x^(2) + 3y^(2) - 9 x + 6y + 5...

    Text Solution

    |

  10. the equation 2x^(2) + 5xy - 12 y^(2) = 0 represents a

    Text Solution

    |

  11. The line y = x intersects the hyperbola (x^(2))/(9) -(y^(2))/(25) = 1...

    Text Solution

    |

  12. The equation of the circle passing through the point (1 , 1) and the p...

    Text Solution

    |

  13. The number of lines which pass through the point (2 , -3) and are at d...

    Text Solution

    |

  14. Let P be a point on the parabola y^(2) = 4ax with focus F . Let Q ...

    Text Solution

    |

  15. The equations of the circles which touch both the axes and the line 4 ...

    Text Solution

    |

  16. Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) ...

    Text Solution

    |

  17. A line passing through the point of intersection of x + y = 4 and x - ...

    Text Solution

    |