Home
Class 9
MATHS
pi is the proportion of the cirumference...

` pi` is the proportion of the cirumference (let c) of a circle to the diamter (let d) of it, i.e, ` pi = c/d` where c and d are both terminting , then how is ` pi` an irrational number ? Explain.

Text Solution

Verified by Experts

The correct Answer is:
`pi=c/d , pi`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 1.1 (MCQ)|4 Videos

  • REAL NUMBERS

    CALCUTTA BOOK HOUSE|Exercise Short answer type questions|11 Videos

  • PROPERTIES OF PARALLELOGRAM

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1 (Long - answer type questions)|14 Videos

  • SECTION FORMULAS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c,d, be any four real numbers. Then a^n+b^n=c^n+d^n holds for any natural number n if

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is a) 3sqrt3 pi b) 6pi c) 2sqrt3pi d) 4/3pi

The period of the function |sin^3x/2|+|cos^5x/5| is 2pi (b) 10pi (c) 8pi (d) 5pi

denote the positive solution of the equation 3+3costheta=2sin^2thetadot The value of theta_3+theta_7 is 3 pi (b) 4 pi (c) 5 pi (d) 6 pi

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to a+b (b) b+c c+a (d) a+b+c

If hat a , hat b ,a n d hat c are three unit vectors inclined to each other at angle theta, then the minimum value of theta is pi/3 b. pi/4 c. (2pi)/3 d. (5pi)/6

Consider square A B C D of side length 1. Let P be the set of all segments of length 1 with endpoints on the adjacent sides of square A B C D . The midpoints of segments in P enclose a region with area Adot The value of A is (a) pi/4 (b) 1-pi/4 (c) 4-pi/4 (d) none of these

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

If 0lt=xlt=2pia n d|cosx|lt=sinx , then (a) then set of all values of x is [pi/4,(3pi)/4] (b)the number of solutions that are integral nultiple of pi/4 is four (C)the number of the largest and the smallest solution is pi (D)the set of all values of x is x in [pi/4,pi/2]uu[pi/2,(3pi)/4]

Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and the unit vector vec c is inclined at an angle theta to both vec aa n d vec bdot If vec c=m vec a+n vec b+p( vec axx vec b),(m ,n , p in R), then a. -pi/4lt=thetalt=pi/4 b. pi/4lt=thetalt=(3pi)/4 c. 0lt=thetalt=pi/4 d. 0lt=thetalt=(3pi)/4

CALCUTTA BOOK HOUSE-REAL NUMBERS -Exercise 1.4 ( Long answer)
  1. pi is the proportion of the cirumference (let c) of a circle to the ...

    Text Solution

    |

  2. If E be a random experiment or rolling a dice and S be its sample spac...

    Text Solution

    |

  3. If sqrt((sqrt10 +1)/(sqrt10-1)) then find the value of (x 1/x)

    Text Solution

    |

  4. IF x =13 + 2sqrt(42) then find the value of ( sqrtx - 1/sqrt(x))

    Text Solution

    |

  5. simplify : (a) sqrt(98) + sqrt(8) -2 sqrt(32) (b) (sqrt3 + sqrt5...

    Text Solution

    |

  6. Find the value of (a)(3sqrt2)/(sqrt3 + sqrt6) - (4sqrt3)/(sqrt6 + sq...

    Text Solution

    |

  7. Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b)...

    Text Solution

    |

  8. If a = sqrt5 + 2 then find the value of : a^(2) + 1/a^(2)

    Text Solution

    |

  9. If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)

    Text Solution

    |

  10. If a x = 2 + sqrt3 then evaluate (x^(3) -5x^(2) + 5x + 9)

    Text Solution

    |

  11. If a = (sqrt3-1)/(sqrt3+1) and ab=1 , then find (a^3 + b^3)

    Text Solution

    |

  12. If a = (sqrt3+1)/(sqrt3-1) and ab=1 , then find (a^(2) + ab + b^(2))

    Text Solution

    |

  13. If a = (sqrt5 +1 )/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then deter...

    Text Solution

    |

  14. If x = (2sqrt15)/(sqrt5 + sqrt3) then evaluate (x+sqrt3)/(x-sqrt3) +...

    Text Solution

    |

  15. If x= (sqrt5+1)/(sqrt5-1) and x = 1/y then find the value of (3x^(...

    Text Solution

    |

  16. If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the...

    Text Solution

    |

  17. If x= 1/(2+sqrt3) and y = 1/(2-sqrt3) then evalue (1/(x+1) + 1/(y...

    Text Solution

    |

  18. Prove that sqrtx/(sqrtx +sqrty) + sqrty/(sqrtx-sqrty) + (2sqrt(xy))/(...

    Text Solution

    |

  19. Prove that 1/(1+sqrt2) + 1/(sqrt2 +sqrt3) + 1/(sqrt3+sqrt4) + 1/(sqrt4...

    Text Solution

    |