Home
Class 11
MATHS
The angle between the tangents drawn fro...

The angle between the tangents drawn from the point (1,4) to the parabola `y^2=4x` is (A) `pi/6` (B) `pi/4` (C) `pi/3` (D) `pi/2`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

The range of value of 'a' such that angle theta between the pair of tangent drawn from (a, 0) to the circle x^2 + y^2 = 1 satisfies pi/2 lt theta lt pi , lies in

The distance between the points (3, pi/4) "and" (7, (5pi)/4) is :

lf the eccentricity of the hyperbola x^2 - y^2 sec^2 alpha=5 is sqrt3 times the eccentricity of the ellipse x^2 (sec^2alpha )+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 (D) pi/4 or (3pi)/4

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 Tangents drawn to the parabola at the extremities of the chord 3x+2y=0 intersect at angle (a) pi//6 (b) pi//3 (c) pi//2 (d) none of these

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (a) pi/2 (b) pi/4 (c) pi/8 (d) pi/(16)

The angles at which the circles (x-1)^2+y^2=10 and x^2+(y-2)^2=5 intersect is pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

In a right angled triangle the hypotenuse is 2sqrt(2) times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are (a) pi/3a n dpi/6 (b) pi/8a n d(3pi)/8 (c) pi/4a n dpi/4 (d) pi/5a n d(3pi)/(10)

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of a point on the variable parabola y^2=4a x , whose distanc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. C (0,1) is the centre of the circle with radius unity. P is the parabo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

    Text Solution

    |

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

    Text Solution

    |

  11. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The line x-y=1 intersect the parabola y^(2)=4x at A and B. Normals at ...

    Text Solution

    |

  16. If normals drawn from a point P(h,k) to the parabola y^(2)=4ax, then t...

    Text Solution

    |

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

    Text Solution

    |

  18. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

    Text Solution

    |

  19. Evaluate, min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , ...

    Text Solution

    |

  20. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

    Text Solution

    |