Home
Class 12
MATHS
The lines L(1),L(2),...,L(20) are distin...

The lines `L_(1),L_(2),...,L_(20)` are distinct.For `n=1,2,3,...,10` all the lines `L_(2n-1)` are parallel to each other and all the lines `L_(2n)` pass through a given point "P" .The maximum number of points of intersection of pairs of lines from the set `{L_(1),L_(2),...,L_(20)}` is equal to_____________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

In the xy plane,the line L_(1) passes through the point (1,1) and the line L_(2) passes through the point (-1,1). If the difference of the slopes of the lines is 2. Then the locus of the point of intersection of the lines L_(1) and L_(2) is

The line l_(1) passing through the point (1,1) and the l_(2), passes through the point (-1,1) If the difference of the slope of lines is 2. Find the locus of the point of intersection of the l_(1) and l_(2)

If lines l_(1), l_(2) and l_(3) pass through a point P, then they are called…………. Lines.

theta_(1) and theta_(2) are the inclination of lines L_(1) and L_(2) with the x axis.If L_(1) and L_(2) pass through P(x,y) ,then the equation of one of the angle bisector of these lines is

The portion of the line 4x+5y=20 in the first quadrant is trisected by the lines L_(1) and L_(2) passing through the origin.The tangent of an angle between the lines L_(1) and L_(2) is:

The straight lines l_1, ,l_2 & l_3, are parallel & lie in the same plane. A total of m points are taken on the line l_1, n points on l_2, & k points on l_3. How many maximum number of triangles are there whose vertices are at these points ?

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let vec a= hat i+hat j+hat k,vec b=-hat i-8 hat j+2 hat k and vec c=4 ...

    Text Solution

    |

  2. Let A=I(2)-2MM^(T),where "M" is a real matrix of order 2times1 such th...

    Text Solution

    |

  3. The lines L(1),L(2),...,L(20) are distinct.For n=1,2,3,...,10 all the ...

    Text Solution

    |

  4. 3 point O(0,0),P(aa^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2....

    Text Solution

    |

  5. If y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))+(1)/(15)(3cos^...

    Text Solution

    |

  6. Let "ABC" be an isosceles triangle in which "A" is at (-1,0),/A=(2 pi)...

    Text Solution

    |

  7. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |

  8. The sum of squares of all possible values of "k" ,for which area of th...

    Text Solution

    |

  9. A bag contains 8 balls,whose colours are either white or black. 4 ball...

    Text Solution

    |

  10. The value of the integral int0^(pi/4) frac{xdx}{sin^4 2x+cos^4 2x} equ...

    Text Solution

    |

  11. If A=[(sqrt2,1),(-1,sqrt2)],B=[(1,0),(0,1)], C=ABA^T,X=A^TC^2A then de...

    Text Solution

    |

  12. If tan A = frac{1}{sqrt (x(x^2 + x + 1)}, tan B = frac{sqrt x}{sqrt (x...

    Text Solution

    |

  13. If n is the number of ways five different employees can sit into four ...

    Text Solution

    |

  14. Let S={ Z in C : | z - 1|=1 and (sqrt 2 - 1) (z + overline z) - i(z - ...

    Text Solution

    |

  15. Let the median and the mean deviation about the median of 7 observatio...

    Text Solution

    |

  16. Let vec a = - 5 hat i + hat j - 3 hat k, vec b = hat i + 2 hat j - 4 h...

    Text Solution

    |

  17. Let S equiv {x in R : (sqrt 3 + sqrt 2)^x + (sqrt 3 - sqrt 2)^x = 10}....

    Text Solution

    |

  18. The area bounded by xy+4y=16 and x+y=6 is

    Text Solution

    |

  19. Let f :R to R and g : R rightarrow R be defined as f(x)={(loge x, x gt...

    Text Solution

    |

  20. If the system of equations 2x + 3y – z = 5 x + alpha y + 3z = –4...

    Text Solution

    |