Home
Class 12
MATHS
If (1+ax)^n = 1 + 8x + 24x^2 + … and a l...

If `(1+ax)^n = 1 + 8x + 24x^2 + …` and a line through `P(a, n)` cuts the circle `x^2 + y^2 = 4` in `A and B`, then `PA.PB = `

A

4

B

8

C

16

D

32

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2)=4 at P and Q then AP .AQ=

A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2)=9 at A and B. Then PA.PB is equal to

If the line passing through P=(8,3) meets the circle S-=x^(2)+y^(2)-8x-10y+26=0 at A,B then PA.PB=

A line is drawn through a fix point P( alpha, beta ) to cut the circle x^2 + y^2 = r^2 at A and B. Then PA.PB is equal to :

A line is drawn through a fix point P( alpha, beta ) to cut the circle x^2 + y^2 = r^2 at A and B. Then PA.PB is equal to :

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0 at A and B , then the maximum of PA+PB is

If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n 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.

A circle with radius |a| and center on the y-axis slied along it and a variable line through (a, 0) cuts the circle at points Pa n dQ . The region in which the point of intersection of the tangents to the circle at points P and Q lies is represented by y^2geq4(a x-a^2) (b) y^2lt=4(a x-a^2) ygeq4(a x-a^2) (d) ylt=4(a x-a^2)

A circle with radius |a| and center on the y-axis slied along it and a variable line through (a, 0) cuts the circle at points Pa n dQ . The region in which the point of intersection of the tangents to the circle at points P and Q lies is represented by y^2geq4(a x-a^2) (b) y^2lt=4(a x-a^2) ygeq4(a x-a^2) (d) ylt=4(a x-a^2)

VMC MODULES ENGLISH-CIRCLES-LEVEL-2
  1. The equation of the circle and its chord are-respectively x^2 + y^2 =...

    Text Solution

    |

  2. Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the poin...

    Text Solution

    |

  3. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  4. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  7. A line is tangent to a circle if the length of perpendicular from the ...

    Text Solution

    |

  8. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  9. The locus of a point which moves such that the tangents from it to the...

    Text Solution

    |

  10. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. A variable circle always touches the line y =x and passes through th...

    Text Solution

    |

  13. If a circle passes through the points of intersection of the lines 2x-...

    Text Solution

    |

  14. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

    Text Solution

    |

  15. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  16. Find the range of values of m for which the line y=m x+2 cuts the circ...

    Text Solution

    |

  17. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  20. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

    Text Solution

    |