Home
Class 11
MATHS
Find the point on the curve y^2=a x the ...

Find the point on the curve `y^2=a x` the tangent at which makes an angle of `45^@` with the x-axis.

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

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.

At what point of the curve y=x^2 does the tangent make an angle of 45^@ with the x-axis?

The point on the curve y^(2) = x , where tangent make an angle of (pi)/(4) with the x-axis, is

Find the point on the curve y^(2) = x at which the tangent drawn makes an angle of 45^(@) from X-axis.

Write the coordinates of the point on the curve y^2=x where the tangent line makes an angle pi/4 with x-axis.

Find the point on the curve y=x^(2)+1 at which the tangent drawn makes an angle of 45^(@) from X-axis.

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^@ with the x-axis.

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^0 with the x- axis .

Point on the parabola y^(2)=8x the tangent at which makes an angle (pi)/(4) with axis is

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

    Text Solution

    |

  2. Prove that the chord y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the p...

    Text Solution

    |

  3. Find the point on the curve y^2=a x the tangent at which makes an angl...

    Text Solution

    |

  4. Find the equation of the straight lines touching both x^2+y^2=2a^2 and...

    Text Solution

    |

  5. Find the points of contact Q and R of a tangent from the point P(2,3) ...

    Text Solution

    |

  6. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

    Text Solution

    |

  7. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

    Text Solution

    |

  8. Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find ...

    Text Solution

    |

  9. Tangents are drawn to the parabola (x-3)^2+(y-4)^2=((3x-4y-6)^2)/(25) ...

    Text Solution

    |

  10. Find the locus of point of intersection of tangents to the parabola y^...

    Text Solution

    |

  11. Mutually perpendicular tangents T Aa n dT B are drawn to y^2=4a x . Th...

    Text Solution

    |

  12. Tangent P Aa n dP B are drawn from the point P on the directrix of the...

    Text Solution

    |

  13. A square has one vertex at the vertex of the parabola y^2=4a x and the...

    Text Solution

    |

  14. P, Q, and R are the feet of the normals drawn to a parabola ( ...

    Text Solution

    |

  15. The equation of the line that passes through (10 ,-1) and is perpendic...

    Text Solution

    |

  16. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  17. If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) wit...

    Text Solution

    |

  18. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

    Text Solution

    |

  19. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  20. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |