Home
Class 12
MATHS
Let ABC is a triangle whose vertices are...

Let ABC is a triangle whose vertices are `A(1, –1), B(0, 2), C(x', y')` and area of `triangleABC` is 5 and C(x', y') lie on `3x + y – 4lambda = 0`, then

A

`-3`

B

1

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

Let two points be A(1,-1) and B(0,2) .If a point P(h,k) be such that the area of triangle PAB is 5 sq units and it lies on the line 3x+y-4 lambda =0 ,then the value of lambda is

Let two points be A(1,-1) and B(0, 2) . If a point P(x', y') be such that the area of DeltaPAB = 5 sq. units and it lies on the line, 3x + y - 4lambda =0 , then a value of lambda is:

P(x, y) moves such that the area of the triangle with vertices at P(x, y), (1, -2), (-1, 3) is equal to the area of the triangle with vertices at P(x, y), (2, -1), (3, 1). The locus of P is

Let two points be A(1,-1) and B(0,2) . If a point P(x',y') be such that the area of DeltaPAB = 5sq.unit and it lies on the line 3x+y-4lambda=0 then value of lambda is

Let two points be A(1,-1) and B(0,2) If a point P(x',y') be such that the area of Delta PAB=5 sq.units and it lies on the line 3x+y-4 lambda=0 then sum of all possible values of lambda is

Let two points be A(1,-1) and B(0,2) . If a point P(x',y') be such that the area of Delta PAB =5sq .units and it lies on the line, 3x+y-4 lambda=0 then sum of all possible values of lambda is

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

The centroid of the triangle with vertices at A(x_(1),y_(1)),B(x_(2),y_(2)),c(x_(3),y_(3)) is

Let two points be A(1,-1) and B(0,2) .If a point P(h,k) be such that the area of Delta PAB=5 sq units and it lies on the line 3x+y-4 lambda=0 then a value of lambda is

Area of triangle formed by straight lines 3x - y = 3, x - 2y + 4 =0 and y =0 is

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. Let X = {x : 1 le x le 50, x in N} A = {x: x is multiple of 2} B = {...

    Text Solution

    |

  2. If F(x) is defined in x in (-1/3,1/3) f(x) = {((1/x)loge((1+3x)/(1-2...

    Text Solution

    |

  3. Let ABC is a triangle whose vertices are A(1, –1), B(0, 2), C(x', y') ...

    Text Solution

    |

  4. Let P(A) = 1/3 , P(B) = 1/6 where A and B are independent events then

    Text Solution

    |

  5. Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1, where |x| gt ...

    Text Solution

    |

  6. f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x) find the inverse of the fu...

    Text Solution

    |

  7. The system of equation 3x + 4y + 5z = mu x + 2y + 3z = 1 4x + 4y...

    Text Solution

    |

  8. If y^2 = ax and x^2 = ay intersect at A & B. Area bounded by both curv...

    Text Solution

    |

  9. Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and...

    Text Solution

    |

  10. Consider a function f(x) = ln (x^2 + alpha)/7x . If for the given func...

    Text Solution

    |

  11. Let f(x) = x cos^(-1)(sin-|x|), x in (-pi/2,pi/2)

    Text Solution

    |

  12. Ellipse 2x^2+ y^2 = 1 and y = mx meet a point A in first quadrant. Nor...

    Text Solution

    |

  13. The shortest distance between line (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and ...

    Text Solution

    |

  14. Which of the following is tautology

    Text Solution

    |

  15. Let P be a point on x^2 = 4y. The segment joining A (0,-1) and P is di...

    Text Solution

    |

  16. Mean and standard deviations of 10 observations are 20 and 2 respectiv...

    Text Solution

    |

  17. If volume of parallelopiped whose there coterminous edges are vec u = ...

    Text Solution

    |

  18. Let int (cos x dx)/(sin^3 x (1 + sin^6 x))^(2/3) = f(x), (1 + sin^6 x ...

    Text Solution

    |

  19. Roots of the equation x^2 + bx + 45 = 0, b in R lie on the curve |z + ...

    Text Solution

    |

  20. Let y= y(x) be a solution the diFIGUREFIGUREerential equation, sq...

    Text Solution

    |