Home
Class 12
MATHS
Vertices of a triangle are (0,0),(41alph...

Vertices of a triangle are `(0,0),(41alpha,37)and (-37,41beta),` where ` alpha and beta` are the roots of the equation `3x^(2)-16x+15=0.` The area of the triangle is `"_________."`

Text Solution

Verified by Experts

The correct Answer is:
4887
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

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

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

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

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|30 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If 1 in (alpha, beta) where alpha, beta are the roots of the equation x^(2)-a(x+1)+3=0 , then

If alpha amd beta are the roots of the equation 3x^(2) - 2x - 8 = 0 then alpha^(2) + alpha beta + beta^(2) = "_____" .

If alpha and beta ( alpha

If alpha,beta be the roots of the equation 4x^(2)-16x+lambda=0 where lambda in R such that 1

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha and beta are roots of the equation,3x^(2)-6x+15=0, then alpha^(3)beta^(2)+alpha^(2)beta^(3)=

If alpha and beta are roots of the equaltion,3x^(2)-6x+15=0, then alpha^(3)beta^(2)+alpha^(2)beta^(3)

If alpha and beta where alpha,beta in R are the roots of equation x^(2)+4x+b=0 and | alpha-beta|<=2 ,then the complete range of b is

If alpha and beta are the roots of the quadratic equation x^(2)-3x-2=0, then (alpha)/(beta)+(beta)/(alpha)=

If alpha and beta are the roots of equation 2x^(2)-3x+5=0 then find the value of alpha^(2)beta+beta^(2)alpha

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
  1. When origin is shifted to the point (4, 5) without changing the direct...

    Text Solution

    |

  2. A(a+1, a-1), B(a^(2)+1, a^(2)-1) and C(a^(3)+1,a^(3)-1) are given poin...

    Text Solution

    |

  3. Vertices of a triangle are (0,0),(41alpha,37)and (-37,41beta), where ...

    Text Solution

    |

  4. If O is the origin anf A(n) is the point with coordinates (n,n+1) then...

    Text Solution

    |

  5. Two point B(x(1), y(1)) and C(x(2), y(2)) are such that x(1), x(2) are...

    Text Solution

    |

  6. L is a line passing through the origin and making an angle theta with ...

    Text Solution

    |

  7. L(1) is a line passing through the point A(n,n+1) having slope, n, L(2...

    Text Solution

    |

  8. A variable plane at a distance of 1 unit from the origin cuts the axes...

    Text Solution

    |

  9. For every interger n, a line L(n) is drawn through the point P(n)(n, n...

    Text Solution

    |

  10. Line 4x+5y-7=0 meets the coordinate axes at A and B. Through the mid -...

    Text Solution

    |

  11. A(1), A(2) are two arithmetic means between two positive real numbers ...

    Text Solution

    |

  12. Reflection of the point A (5, 12) in the line y=x tan theta is P(alpha...

    Text Solution

    |

  13. If area of the parallelogram formed by the lines x+3y-a=0, 3x-2y+3a=0,...

    Text Solution

    |

  14. 7. If the orthocentre of the triangle formed by the lines 2x+3y-1 0, x...

    Text Solution

    |

  15. Lines x=n, y=n^(3) intersect at the point A(n).L(n) is a line through ...

    Text Solution

    |

  16. The straight lines L = x+y+1=0 and L1 =x+2y+3 = 0 are intersecting,'m'...

    Text Solution

    |

  17. If the coordinates of the orthocentre of the triangle formed by the li...

    Text Solution

    |

  18. One diagonal of a square is the portion of the line x//97+y//79=1 inte...

    Text Solution

    |

  19. A straight line passing through the point (87, 33) cuts the positive d...

    Text Solution

    |

  20. If A1,A2......An are points on the line y = x lying in the positive qu...

    Text Solution

    |