Home
Class 11
MATHS
Let S1 , S2,,,,, be squares such that fo...

Let `S_1 , S_2,`,,,, be squares such that for each `n ge 1` the length of a side of `S_n` equals the length of a diagonal of `S_(n +1)`. If the length of a sides of `S_1` is 10 cm, then for which of the following values of n in the ares of `S_n` less than 1 sq. cm ?

A

7

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

Let S_(n) be the sum of first n terms of an A.P. If S_(2n) = 5s_(n) , then find the value of S_(3n) : S_(2n) .

If S_n be the sum of the n consecutive terms of an A.P,find the value of S_(n+3)-3S_(n+2)+3S_(n+1)-Sn

Which of the following reactions do not invole an intermediate and why? S_(N)1,S_(N)2,EI,E2

Let ABCD is a unit square and each side of the square is divided in the ratio alpha : (1-alpha) (0 lt alpha lt 1) . These points are connected to obtain another square. The sides of new square are divided in the ratio alpha : (1-alpha) and points are joined to obtain another square. The process is continued idefinitely. Let a_(n) denote the length of side and A_(n) the area of the n^(th) square The value of alpha for which side of n^(th) square equal to the diagonal of (n+1)^(th) square is

If S_1a n dS_2 are the foci of the hyperbola whose length of the transverse axis is 4 and that of the conjugate axis is 6, and S_3a n dS_4 are the foci of the conjugate hyperbola, then the area of quadrilateral S_1S_3S_2S_4 is 24 (b) 26 (c) 22 (d) none of these

A rectangle with sides 2m-1 and 2n-1 divided into squares of unit length the number of rectangles which can be formed with sides of odd length is

If S denotes the sum to infinity and S_n the sum of n terms of the series 1+1/2+1/4+1/8+ , such that S-S_n<1/(1000), then the least value of n is 8 b. 9 c. 10 d. 11

If s(n)= i^n+i^(-n) where i=sqrt(-1) and n is an integer then the total number of distinct values of S(n) is

If alpha_1 and alpha_2 be the circular measure of the angles subtended by the arcs of lengths s_1,s_2 at the centres of the circles whose radii are a_1,a_2 respectively , then show that the angle subtended at the centre by the arc of length (s_1+s_2) of a circle whose radius is 1/n(a_1alpha_1+a_2alpha_2) will be n radians.

If alphaa n dbeta are the roots of ax^2+bx+c=0a n dS_n=alpha^n+beta^n, then a S_(n+1)+b S_n+c S_(n-1)=0 and hence find S_5dot

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Given a family of lines (2x+y+4)+k(x-2y-3)=0, the number of lines bel...

    Text Solution

    |

  2. All points lying inside the triangle formed by the points (1,3),(5,0)a...

    Text Solution

    |

  3. Let S1 , S2,,,,, be squares such that for each n ge 1 the length of a ...

    Text Solution

    |

  4. Let L1 be a straight line passing through the origin and L2 be the str...

    Text Solution

    |

  5. Two sides of a triangle are the lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(...

    Text Solution

    |

  6. A and B are two fixed points whose co-ordinates are (3,2) and (5,4) re...

    Text Solution

    |

  7. If one diagonal of square is the portion of the line x/a+y/b=1intercep...

    Text Solution

    |

  8. Two lines are given by (x-2y)^2+k(x-2y)=0. The value of k so that the ...

    Text Solution

    |

  9. Let L1-=ax+by+aroot(3)(b)=0 and L2-=bx+ay+aroot(3)(a)=0 be two straigh...

    Text Solution

    |

  10. A vector oversetrarra has components 2p and 1 with respect to a rectan...

    Text Solution

    |

  11. If a^2-b^2-c^2-2ab=0, then the family of lines ax+by+c=0 are concurren...

    Text Solution

    |

  12. A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of a triangle ABC. lx+my+n...

    Text Solution

    |

  13. A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of a triangle ABC. lx+my+n...

    Text Solution

    |

  14. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  15. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  16. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  17. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  18. If triangle denotes the area of the triangle with vertices (p+1, 1), (...

    Text Solution

    |

  19. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  20. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |