Home
Class 12
MATHS
Area of the triangle formed by the line ...

Area of the triangle formed by the line `x+y=3` and angle bisectors of the pair of straight lines `x^2-y^2+2y=1` is `2s qdotu n i t s` b. `4s qdotu n i t s` c. `6s qdotu n i t s` d. `8s qdotu n i t s`

A

2 sq. units

B

4 sq. units

C

6 sq. units

D

8 sq. units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II|20 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise COMPREHENSIONS|9 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level - II|14 Videos
  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area bounded by the curve f(x)=x+sinx and its inverse function between the ordinates x=0a n dx=2pi is 4pis qdotu n i t s (b) 8pis qdotu n i t s 4s qdotu n i t s (d) 8s qdotu n i t s

A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=1 intersects the major and minor axes at point Aa n dB , respectively. If C is the center of the ellipse, then the area of triangle A B C is 12s qdotu n i t s (b) 24s qdotu n i t s 36s qdotu n i t s (d) 48s qdotu n i t s

The area of the triangle formed by the positive x- axis and the normal and tangent to the circle x^2+y^2=4 at (1,sqrt(3)) is (a)2sqrt(3)s qdotu n i t s (b) 3sqrt(2)s qdotu n i t s (c)sqrt(6)s qdotu n i t s (d) none of these

What is the area of the shaded region? (FIGURE) 32-4 pi s qdotu n i t s (b) 32-8 pi s qdotu n i t s (c) 16-4 pi s qdotu n i t s (d) 16-8 pi s qdotu n i t s

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

Consider two curves C_1: y^2=4[sqrt(y)]x a n dC_2: x^2=4[sqrt(x)]y , where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines x=1,y=1,x=4,y=4 is 8/3s qdotu n i t s (b) (10)/3s qdotu n i t s (11)/3s qdotu n i t s (d) (11)/4s qdotu n i t s

The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then the area of the bounded region is (a)200s qdotu n i t s (b) 400s qdotu n i t s (c)800s qdotu n i t s (d) 500s qdotu n i t s

The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is 16pi s qdotu n i t s (b) 4pi s qdotu n i t s (c) 6pi s qdotu n i t s (d) 8pi s qdotu n i t s

FIITJEE-STRAIGHT LINE -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. The three lines 4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 form the sid...

    Text Solution

    |

  2. If (-6,-4) and (3,5) are the extremities of the diagonal of a parall...

    Text Solution

    |

  3. Area of the triangle formed by the line x+y=3 and angle bisectors of t...

    Text Solution

    |

  4. If the centroid of the triangle formed by the lines 2y^2+5xy-3x^2=0 an...

    Text Solution

    |

  5. If P= (1,0);Q=(-1.0) & R= (2,0) are three given points, then the locus...

    Text Solution

    |

  6. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots then ...

    Text Solution

    |

  7. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

  8. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

  9. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

  10. If A(cosalpha, sinalpha),B(sinalpha- cosalpha) , C (2,1) are the verti...

    Text Solution

    |

  11. The straight line y = x - 2 rotates about a point where it cuts x-axis...

    Text Solution

    |

  12. It is desired to construct a right angled triangle ABC (/C= pi/2) in x...

    Text Solution

    |

  13. If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 pass...

    Text Solution

    |

  14. Prove that the area of the parallelogram formed by the lines xcosalpha...

    Text Solution

    |

  15. Consider the equation y - y(1) = m(x - x(1)). If m and different lines...

    Text Solution

    |

  16. The medians A D\ a n d\ B E of a triangle with vertices A(0, b),\ B(0,...

    Text Solution

    |

  17. If DeltaOAB is an equilateral triangle (O is the origin and A is a poi...

    Text Solution

    |

  18. Let 2x - 3y = 0 be a given line and P (sintheta, 0) and Q(0, costheta)...

    Text Solution

    |

  19. The sides of a rhombus ABCD are parallel to the lines x−y+2=0 and 7x−y...

    Text Solution

    |

  20. If the lines ax+12y+1=0 bx+13y+1=0 and cx+14y+1=0 are concurrent then ...

    Text Solution

    |