Home
Class 11
MATHS
If the liney-sqrt(3)x + 3=0 cuts the par...

If the line`y-sqrt(3)x + 3=0` cuts the parabola `y^2=x + 2` at A and B, then find the value of PA.PB(where `P=(sqrt(3),0)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP.AQ is equal to

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

If the line y = sqrt3x cuts the curve x^4 + ax²y + bxy + 2x + dy + 6 = 0 at A, B, C and D, then value of OA .OB.OC. OD is, (where O is origin) -

if the line y=xsqrt3 cuts the curve x^3+y^3+3xy+5x^2+3y^2+4x+5y+1=0 at point A,B,C then find the value of OA.OB.OC is equal to (where O is the origin)

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0 at A and B , then the maximum of PA+PB is

If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then the tangent of the angle subtended by line segment A B at the origin is (a) (8sqrt(3))/(205) (b) (8sqrt(3))/(209) (c) (8sqrt(3))/(215) (d) none of these

If line 3x-ay-1=0 is parallel to the line (a+2)x-y+3=0 then find the values of a.

A straight line through the point (2,2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the point A and B , respectively. Then find the equation of the line A B so that triangle O A B is equilateral.

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  2. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  3. If the liney-sqrt(3)x + 3=0 cuts the parabola y^2=x + 2 at A and B, th...

    Text Solution

    |

  4. The locus of a point on the variable parabola y^2=4a x , whose distan...

    Text Solution

    |

  5. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  6. The angle between the tangents drawn from the point (1,4) to the para...

    Text Solution

    |

  7. Statement 1: There are no common tangents between the circle x^2+y^2...

    Text Solution

    |

  8. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  9. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

    Text Solution

    |

  10. The set of points on the axis of the parabola (x-1)^2=8(y+2) from wher...

    Text Solution

    |

  11. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  12. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  13. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  14. From the point (15, 12), three normals are drawn to the parabola y^2=4...

    Text Solution

    |

  15. t 1 and  t 2 are two points on the parabola y^...

    Text Solution

    |

  16. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

    Text Solution

    |

  17. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  18. The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at ...

    Text Solution

    |

  19. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

    Text Solution

    |

  20. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |