Home
Class 12
MATHS
Tangent and normal are drawn at P(16,16)...

Tangent and normal are drawn at P(16,16) on the parabola `y^2=16x` which intersect the axis of the parabola at A and B respectively. If C is the centre of the circle through the points P,A and B and `angle CPB=theta` then the value of `tan theta` is

A

2

B

3

C

`4/3`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -1)|9 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -2)|7 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Tangent and normal are drawn at the point P-=(16 ,16) of the parabola y^2=16 x which cut the axis of the parabola at the points Aa n dB , rerspectively. If the center of the circle through P ,A ,a n dB is C , then the angle between P C and the axis of x is (a)tan^(-1)(1/2) (b) tan^(-1)2 (c)tan^(-1)(3/4) (d) tan^(-1)(4/3)

A tangent and a normal are drawn at the point P(8, 8) on the parabola y^(2)=8x which cuts the axis of the parabola at the points A and B respectively. If the centre of the circle through P, A and B is C, then the sum f sin(anglePCB) and cot(anglePCB) is equal to

The tangent and normal at the point p(18, 12) of the parabola y^(2)=8x intersects the x-axis at the point A and B respectively. The equation of the circle through P, A and B is given by

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is

For the parabola y^(2)=8x tangent and normal are drawn at P(2.4) which meet the axis of the parabola in A and B .Then the length of the diameter of the circle through A,P,B is

A tangent and a normal are drawn at the point P(2,-4) on the parabola y^(2)=8x , which meet the directrix of the parabola at the points A and B respectively. If Q (a,b) is a point such that AQBP is a square , then 2a+b is equal to :

Normals are drawn at points P, Q are R lying on the parabola y^(2)=4x which intersect at (3, 0), then

Normals are drawn at points A,B, and C on the parabola y^(2)=4x which intersect at P.The locus of the point P if the slope of the line jocuing the feet of two of them is 2, is

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  2. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

    Text Solution

    |

  3. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  4. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  5. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  6. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  7. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  8. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  9. If from any point P, tangents PT, PT' are drawn to two given circles w...

    Text Solution

    |

  10. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

    Text Solution

    |

  11. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  12. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  13. A rod AB of length 15 cm rests in between two coordinate axes in su...

    Text Solution

    |

  14. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  15. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

    Text Solution

    |

  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

    Text Solution

    |

  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  18. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

    Text Solution

    |

  19. The equation of the conic with focus at (1,-1), directrix along x -y +...

    Text Solution

    |

  20. The equation of one of the common tangent to the parabola y^(2) = 8x a...

    Text Solution

    |

  21. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |