Home
Class 12
MATHS
From point P(4,0) tangents PA and PB are...

From point P(4,0) tangents PA and PB are drawn to the circle `S: x^2+y^2=4`. If point Q lies on the circle, then maximum area of `triangleQAB` is- (1) `2sqrt3` (2) `3sqrt3` (3) `4sqrt3` A) 9

A

12

B

27

C

48

D

45

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 74

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 76

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

From point P(4,0) tangents PA and PB are drawn to the circle S:x^(2)+y^(2)=4. If point Q lies on the circle,then maximum area of /_QAB is -(1)2sqrt(3)(2)3sqrt(3)(3)4sqrt(3)A)9

From the point P(4,-4) tangents PA and PB are drawn to the circle x^(2)+y^(2)-6x+2y+5=0 whose centre is C then Length of AB

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=4, then locus of the point P if PAB is an equilateral triangle,is equal to

From the point P(3, 4) tangents PA and PB are drawn to the circle x^(2)+y^(2)+4x+6y-12=0 . The area of Delta PAB in square units, is

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

Tangents PA and PB are drown to the circle S=x^(2)+y^(2)-2y-3=0 from the point P(3,4). which of the following altematives (s) is/are correct

From the point P(sqrt(2),sqrt(6)), tangents PA and PB are drawn to the circle x^(2)+y^(2)=4 Statement 1: The area of quadrilateral OAPB (O being the origin) is 4. Statement 2: The area of square is a^(2), where a is the length of side.

If the tangents AB and AQ are drawn from the point A(3, -1) to the circle x^(2)+y^(2)-3x+2y-7=0 and C is the centre of circle, then the area of quadrilateral APCQ is :

A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touches the circle at point A. If the tangent passes through the point P(2, 1),then PA=

NTA MOCK TESTS-NTA JEE MOCK TEST 75-MATHEMATICS
  1. The smallest positive integral value of a, such that the function f(x)...

    Text Solution

    |

  2. The value of Sigma(i=1)^(n)(.^(n+1)C(i)-.^(n)C(i)) is equal to

    Text Solution

    |

  3. If the integral int(0)^(2)(dx)/(sinx+sin(2-x))=A, then the integral be...

    Text Solution

    |

  4. If the reciprocals of 2, log((3^(x)-4))4 and log(3^(x)+(7)/(2))4 are i...

    Text Solution

    |

  5. From point P(4,0) tangents PA and PB are drawn to the circle S: x^2+y^...

    Text Solution

    |

  6. Consider a plane P:2x+y-z=5, a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) ...

    Text Solution

    |

  7. The number of triplets (a, b, c) of positive integers satisfying the e...

    Text Solution

    |

  8. The locus of the trisection point of any arbitrary double ordinate of ...

    Text Solution

    |

  9. If A={1,3,5,7,9,11,13,15}, B and N={2,4,……,16} is the universal set, t...

    Text Solution

    |

  10. Let f:(6, 8)rarr (9, 11) be a function defined as f(x)=x+[(x)/(2)] (wh...

    Text Solution

    |

  11. Let f(x+y)=f(x).f(y) for all x, y in R and f(x)=1+x phi(x)log3. If lim...

    Text Solution

    |

  12. If the standard deviation of the numbers 2, 4, a and 10 is 3.5, then w...

    Text Solution

    |

  13. The domain of the function f(x)=4sqrt(cos^(-1)((1-|x|)/(2))) is

    Text Solution

    |

  14. A word has 4 identical letters and rest all are distinct letters. If t...

    Text Solution

    |

  15. The integral I=int sec^(3)x tan^(3)xdx is equal to (where, C is the co...

    Text Solution

    |

  16. If omega is the imaginary cube roots of unity, then the number of p...

    Text Solution

    |

  17. If the area bounded by y+|x-pi|le pi and y ge (pi)/(2) is Kpi^(2) sq. ...

    Text Solution

    |

  18. If sqrt3 sin x+cosx-2=(y-1)^(2)" for "0lexle 8pi, then the number of v...

    Text Solution

    |

  19. The probability that a married man watches a certain T.V. show is 0.6 ...

    Text Solution

    |

  20. The value of lim(xrarr1)Sigma(r=1)^(10)=(x^(r )-1^(r ))/(2(x-1)) is eq...

    Text Solution

    |