Home
Class 12
MATHS
Find the area of the triangle formed by ...

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle `x^2+y^2=9` and the line joining their points of contact.

A

12

B

6

C

4

D

`(192)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the tangents drawn from the point (4, 6) to the circle x^2+y^2=25 and their chord of contact. Answer: (405sqrt(3))/52 sq. units

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

The area of the triangle formed by the tangents from (1,3) to the circle x^(2)+y^(2)-4x+6y+1=0 and its chord of contact is

The area of the triangle formed by the tangent at (3, 4) to the circle x^(2) + y^(2) =25 and the co-ordinate axes is _____

Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

The area of triangle formed by the tangents from the point (3, 2) to the hyperbola x^2-9y^2=9 and the chord of contact w.r.t. the point (3, 2) is_____________

(i) Tangents are drawn from the point (alpha, beta) to the parabola y^2 = 4ax . Show that the length of their chord of contact is : 1/|a| sqrt((beta^2 - 4aalpha) (beta^2 + 4a^2)) . Also show that the area of the triangle formed by the tangents from (alpha, beta) to parabola y^2 = 4ax and the chord of contact is (beta^2 - 4aalpha)^(3/2)/(2a) . (ii) Prove that the area of the triangle formed by the tangents at points t_1 and t_2 on the parabola y^2 = 4ax with the chord joining these two points is a^2/2 |t_1 - t_2|^3 .

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. The locus of the center of the circle which touches the circle x^(2)+y...

    Text Solution

    |

  2. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  3. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  4. If the chord of contact of the tangents drawn from a point on the ci...

    Text Solution

    |

  5. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  6. A circle of constant radius 2r passes through the origin and meets the...

    Text Solution

    |

  7. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  8. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  9. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

    Text Solution

    |

  10. Tangents OP and OQ are drawn from the origin o to the circle x^2 ...

    Text Solution

    |

  11. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

  12. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  13. Area of a circle in which a chord of length sqrt2 makes an angle (pi)/...

    Text Solution

    |

  14. If 3x + b(1)y + 5 =0 and 4x + b(2)y + 10 = 0 cut the x-axis and y-axis...

    Text Solution

    |

  15. If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to i...

    Text Solution

    |

  16. If two tangents are drawn from a point to the circle x^(2) + y^(2) =3...

    Text Solution

    |

  17. The radical centre of three circles described on the three sides 4x-7y...

    Text Solution

    |

  18. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  19. A line meets the co-ordinates axes at A(a, 0) and B(0, b) A circle is ...

    Text Solution

    |

  20. If the two circles (x+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect...

    Text Solution

    |