Home
Class 12
MATHS
Let k be an integer such that the triang...

Let `k` be an integer such that the triangle with vertices `(k ,-3k),(5, k)` and `(-k ,2)` has area `28s qdot` units. Then the orthocentre of this triangle is at the point : `(1,-3/4)` (2) `(2,1/2)` (3) `(2,-1/2)` (4) `(1,3/4)`

A

`(2,(1)/(2))`

B

`(2, - (1)/(2))`

C

`(1, (3)/(4))`

D

`(1, (3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -1 CONCEPT BUILDER|65 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let k be an integer such that the triangle with vertices (k, -3k), (5, k) and (-k, 2) has area 28 sq units. Then, the orthocentre of this triangle is at the point

Let k be an integer such that the triangle with vertices (k,-3k),(5,k) and (-k,2) has area 28sq. units.Then the orthocentre of this triangle is at the point: :(1,-(3)/(4))(2)(2,(1)/(2))(3)(2,-(1)/(2))(4)(1,(3)/(4))

Find the values of k so that the area of the triangle with vertices (1,-1),(-4,2k) and (c ,-5 is 24sq .units.

Find the value of k so that the area of the triangle with vertices A(k+1,1),B(4,-3) and C(7,-k) is 6 square units.

The area of a triangle with vertices (-2,0),(0,k) and (0,4) is 4 square units.Then the values of K will be

If the centriod of the triangle whose vertices are (2,4),(3,k) and (4,2) is (k,3) then k

DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
  1. Let k be an integer such that the triangle with vertices (k ,-3k),(...

    Text Solution

    |

  2. The coefficient of x in f (x) = |{:(x , 1 + sin x , cos x ),(1 , lo...

    Text Solution

    |

  3. If a(n)=(1)/(n+1)+1 then find the vaue of a(1)+a(3)+a(5)

    Text Solution

    |

  4. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  5. Prove that |{:(x^(2),,x^(2)-(y-z)^(2),,yz),(y^(2),,y^(2)-(z-x)^(2),,zx...

    Text Solution

    |

  6. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

    Text Solution

    |

  7. If m is a positive integer and Dr=|2r-1\ ^m Cr1m^2-1 2^m m+1s in^2(...

    Text Solution

    |

  8. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  9. If omega is a non-real cube root of unity, then Delta = |(a(1) + b(1) ...

    Text Solution

    |

  10. prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),...

    Text Solution

    |

  11. Evaluate |{:(.^(x)C(1),,.^(x)C(2),,.^(x)C(3)),(.^(y)C(1),,.^(y)C(2),,....

    Text Solution

    |

  12. If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...

    Text Solution

    |

  13. The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2)...

    Text Solution

    |

  14. The value of the determinant |{:(1 ,(5^(2x)-5^(-2x))^(2),(5^(2x)-5^(-2...

    Text Solution

    |

  15. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  16. If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...

    Text Solution

    |

  17. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

    Text Solution

    |

  18. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

    Text Solution

    |

  19. the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...

    Text Solution

    |

  20. f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...

    Text Solution

    |

  21. If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then

    Text Solution

    |