Home
Class 12
MATHS
If 5, 5r and 5r^(2) are the lengths of t...

If 5, 5r and `5r^(2)` are the lengths of the sides of a triangle, then r cannot be equal to

A

`(3)/(2)`

B

`(3)/(4)`

C

`(5)/(4)`

D

`(7)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

5, 5r, 5r^2 are sides of a triangle. Which value of r cannot be possible (a) 3//2 (b) 5//4 (c) 3//4 (d) 7//4

If a,b and c also represent the sides of a triangle and a,b,c are in g.p then the complete set of alpha^2 = (r^2 +r +1)/(r^2-r+1) is

In a right angled DeltaABC,angleACB=90^(@). A circle is inscribed in the triangle with radius r, a, b, c are the lengths of the sides BC, AC and AB respectively. Prove that 2r=a+b-c.

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

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

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) a+b (b) b+c (c) c+a (d) a+b+c

For triangle ABC,R=5/2 and r=1. Let I be the incenter of the triangle and D,E and F be the feet of the perpendiculars from I->BC,CA and AB, respectively. The value of (IDXIEXIF)/(IAXIBXIC) is equal to (a) 5/2 (b) 5/4 (c) 10 (d) 1/5

If the sides of a triangle are in the ratio 3 : 7 : 8 , then find R : r

If in a triangle of base 'a', the ratio of the other two sides is r ( <1).Show that the altitude of the triangle is less than or equal to (ar)/(1-r^2)

in a triangle ABC , let angle C = (pi)/(2) if r the in radius and R is the circumradius of the triangle ABC , then 2( r+R) equals

CENGAGE-JEE 2019-MCQ
  1. Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non...

    Text Solution

    |

  2. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  3. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |

  4. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  5. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |

  6. If 19th term of a non-zero AP is zero, then its (49th term) : (29 th t...

    Text Solution

    |

  7. The product of three consecutive terms of a GP is 512. If 4 is added t...

    Text Solution

    |

  8. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

    Text Solution

    |

  9. If the sum of the first 15 terms of the series ((3)/(4))^(3)+(1(1)/(2)...

    Text Solution

    |

  10. Let x, y be positive real numbers and m, n be positive integers, The ...

    Text Solution

    |

  11. Consider a class of 5 girls and 7 boys. The number of different teams ...

    Text Solution

    |

  12. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |

  13. The number of natural numbers less than 7,000 which can be formed by u...

    Text Solution

    |

  14. If set A={1, 2, 3, 2 }, then the find the number of onto functions fro...

    Text Solution

    |

  15. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  16. Consider three boxes, each containing 10 balls labelled 1, 2, …, 10. S...

    Text Solution

    |

  17. Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x +...

    Text Solution

    |

  18. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  19. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  20. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |