Home
Class 12
MATHS
Let A1, A2, A3, . . . ,A8 be the vertice...

Let `A_1, A_2, A_3, . . . ,A_8` be the vertices of a regular octagon that lie on a circle of radius 2. Let P be a point on the circle and let `PA_i` denote the distance between the points `P and A_i` for `i=1,2, . . . ,8`.If P varies over the circle, then the maximum value of the product `PA_1 , PA_2 . . . PA_8`, is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -3)|4 Videos

  • MOCK TEST 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|18 Videos

Similar Questions

Explore conceptually related problems

If a_1, a_2, a_3,...a_20 are A.M's inserted between 13 and 67 then the maximum value of the product a_1 a_2 a_3...a_20 is

An equilateral triangle ABC is inscribed in a circle of radius r if P be any point on the circle then find the value of PA^(2)+PB^(2)+PC^(2)

Draw two concentric circles of radii 2 cm and 5 cm. Take a point P on the outer circle and construct a pair of tangents PA and PB to the smaller circle. Measure PA.

Draw two concentric circles of radii 2 cm and 5 cm. Take a point P on the outer circle and construct a pair of tangents PA and PB to the smaller circle. Measure PA.

If the point A_1, A_2,….,A_8 be the affixes of the roots of the equation z^8-1=0 in the argand plane, then the area of the triangle A_3 A_6 A_7 is equal to

P is a variable point on the curve y= f(x) and A is a fixed point in the plane not lying on the curve. If PA^(2) is minimum, then the angle between PA and the tangent at P is

Let P be point on the circumference on the circle.perpendiculars PA and PB are drawn to point A and B on two mutually perpendicular diameter.If AB=36cm ,the diameter of the circle is:

Let the equation of the circle is x^(2) + y^(2) - 2x-4y + 1 = 0 A line through P(alpha, -1) is drawn which intersect the given circle at the point A and B. if PA PB has the minimum value then the value of alpha is.

JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
  1. Consider the given data with frequency distribution {(xi,3,8,11,10,5...

    Text Solution

    |

  2. Let l1 and l2 be the lines vec r1= gamma (hati+ hatj +hat k ) and vecr...

    Text Solution

    |

  3. Let z be a complex number satisfying |z|^3 +2z^2 +4barz -8 =0 , where ...

    Text Solution

    |

  4. Let f:[1,oo) to RR be a differentiable function such that f(1)=1/3 and...

    Text Solution

    |

  5. Consider an experiment of tossing a coin repeatedly until the outcomes...

    Text Solution

    |

  6. For any y in RR , let cot^-1(y) in (0,pi) and tan^-1(y) in (-pi/2,pi/2...

    Text Solution

    |

  7. Let the position vectors of the points P ,Q, R and S be veca=hati +2ha...

    Text Solution

    |

  8. Let M = (a(ij)) , i , j in {1,2,3}, be the 3 xx 3 matrix such that a(i...

    Text Solution

    |

  9. Let f:(0,1) to RR be the function defined as f(x)=[4x](x-1/4)^2(x-1/2)...

    Text Solution

    |

  10. Let S be the set of all twice differentiable functions f from RR to RR...

    Text Solution

    |

  11. For x in RR let tan^-1(x) in (-pi/2 ,pi/2). Then the minimum value of ...

    Text Solution

    |

  12. For x in RR, let y(x) be a solution of the differential equation (x^2...

    Text Solution

    |

  13. Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0....

    Text Solution

    |

  14. Let A1, A2, A3, . . . ,A8 be the vertices of a regular octagon that li...

    Text Solution

    |

  15. Let R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d in {0,3,5,7,11,13,17,19}}. Th...

    Text Solution

    |

  16. Let C1 be the circle of radius 1 with center at the origin. Let C2 be ...

    Text Solution

    |

  17. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  18. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  19. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |

  20. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |