Home
Class 12
MATHS
Suppose (a(1),b(1)),(a(2),b(2)) and (a(3...

Suppose `(a_(1),b_(1)),(a_(2),b_(2))` and `(a_(3),b_(3))` are vertices of an equilateral triangle whose each side is of length2.1 units, then
`||(x_(1),y_(1),8sqrt(3)),(x_(2),y_(2),8sqrt(3)),(x_(3),y_(3),8sqrt(3))||=`__________

Text Solution

Verified by Experts

The correct Answer is:
13.23
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|60 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|22 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If A (x_(1), y_(1)), B (x_(2), y_(2)) and C (x_(3), y_(3)) are vertices of an equilateral triangle whose each side is equal to a, then prove that |(x_(1),y_(1),2),(x_(2),y_(2),2),(x_(3),y_(3),2)| is equal to

If A(x_1, y_1),B(x_2, y_2) and C(x_3,y_3) are vertices of an equilateral triangle whose each side is equal to a , then prove that |[x_1,y_1, 2],[x_2,y_2, 2],[x_3,y_3, 2]|^2=3a^4

Show that the points A(1, 1), B(-1, -1) and C(-sqrt3, sqrt3) are the vertices of an equilateral triangle each of whose sides is 2sqrt2 units.

If the coordinates of the vertices of an equilateral triangle with sides of length a are (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) then |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2=(3a^(4))/4

If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are vertices of equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)=(x_(3)-2)^(2)+(y_(3)-3)^(2) then

if quad /_=[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

if Delta=det[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
  1. Suppose 3/((x-1)(x^(2)+x+1))=f(1)(x)-f(2)(x) where f(1)(x)=1/(x-1)...

    Text Solution

    |

  2. Suppose a(1),a(2),a(3),a(4)gt0. If periods of sin(a(1)pix+b(1)),cos(a(...

    Text Solution

    |

  3. Suppose f(a,b,x,y)=|(1,x,x^(2)),(cos((a-b)y),cos(ay),cos((a+b)y)),(s...

    Text Solution

    |

  4. If |(a+b+2c,a,b),(c,2a+b+c,b),(c,a,a+2b+c)|=432/125 then a+b+c=

    Text Solution

    |

  5. Let f(x)=|(5x-8,3,3),(3,5x-8,3),(3,3,5x-8)| Sum of the roots of f(x)...

    Text Solution

    |

  6. Let N=|(10!,11!,12!),(11!,12!,13!),(12!,13!,14!)| Then N/((10!)(11...

    Text Solution

    |

  7. Suppose a,b,c are real numbers such that |(1+a,1,1),(1,1+b,1),(1,1,1...

    Text Solution

    |

  8. Suppose |(b+c,a,b),(c+a,c,a),(a+b,b,c)|=4k(a+b+c)(c-a)^(2)……………1 wh...

    Text Solution

    |

  9. Evaluate |{:(265, 240, 219),(240, 225, 198), (219, 198, 181):}|

    Text Solution

    |

  10. Suppose (a(1),b(1)),(a(2),b(2)) and (a(3),b(3)) are vertices of an equ...

    Text Solution

    |

  11. Suppose a,b,cgt0. If |(x(1),y(1),2a),(x(2),y(2),2b),(x(3),y(3),2c)|=...

    Text Solution

    |

  12. Let f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then |f(2.9)^(1//3)|=

    Text Solution

    |

  13. If alpha is a cube root of unity, then find the value of |[alpha,alp...

    Text Solution

    |

  14. Suppose a(1)+a(2)+a(3)+1.3,b(1)+b(2)+b(3)=2.1,c(1)+c(2)+c(3)=1.6 and ...

    Text Solution

    |

  15. Suppose a,b,c are three distinct real numbers such that a,b,c !=1.1 an...

    Text Solution

    |

  16. Suppose A is a 3xx3 matrix such that det(A)=2.2 then ("det"(adj(adjA))...

    Text Solution

    |

  17. For x epsilon R let f(x)=|((x-4)^(2),(x-3)^(2),(x-2)^(2)),((x-3)^(2...

    Text Solution

    |