Home
Class 11
MATHS
In a plane there two families of lines :...

In a plane there two families of lines : y=x+r, y=-x+r, where `r in {0, 1, 2, 3, 4}.` The number of the squares of the diagonal of length 2 formed by these lines is____.

A

9

B

16

C

25

D

36

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|136 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

In a plane there are two families of lines y=x+r, y=-x+r , where r in {0, 1, 2, 3, 4 } . The number of squares of diagonals of length 2 formed by the lines is:

In a plane there are two families of lines y=x+r, y=-x+r , where r in {0, 1, 2, 3, 4 } . The number of squares of diagonals of length 2 formed by the lines is:

Find the equations of the diagonals of the square formed by the lines x=0,y=0,x=1 and y=1.

Find the equations of the diagonals of the square formed by the lines x=o,y=0,x=1a n dy=1.

Find the equations of the diagonals of the square formed by the lines x=o,y=0,x=1a n dy=1.

Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n d y=9 is____

Area of the triangle formed by the lines x^2 + 4xy + y^2=0 and x - y=4 is____

Equations of diagonals of the square formed by the lines x=0,y=0,x=1 and y=1 are

The diagonal of the rectangle formed by the lines x^2-7x +6= 0 and y^2-14y +40= 0 is

Consider a family of lines (4a+3)x-(a+1)y-(2a+1)=0 where a in R a member of this family with positive gradient making an angle of 45 with the line 3x-4y=2 , is

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
  1. Write the number of words that can be formed out of the letters of the...

    Text Solution

    |

  2. How many different committees of 5 can be formed from 6 men and 4 wome...

    Text Solution

    |

  3. The number of ways to rearrange the letters of the word CHEESE is

    Text Solution

    |

  4. If \ ^(k+5)P(k+1)=(11(k-1))/2dot\ ^(k+3)P(k\ )Pk then the values of k ...

    Text Solution

    |

  5. Find the number of proper factors of the number 38808. also, find sum ...

    Text Solution

    |

  6. In a party 15 people shake their hands with each other. How many tim...

    Text Solution

    |

  7. The number of ways in which 5 beads of different colours can be made i...

    Text Solution

    |

  8. Find number of ways that 8 beads o different colors be strung as a ...

    Text Solution

    |

  9. There are n points in a plane of which 'p' points are collinear. How m...

    Text Solution

    |

  10. The number of 4 digit even numbers that can be formed using 0, 1, 2, 3...

    Text Solution

    |

  11. The number of ways in which 21 objects can be grouped into three group...

    Text Solution

    |

  12. Let L1 and L2 be two lines intersecting at P If A1,B1,C1 are points o...

    Text Solution

    |

  13. In a plane there two families of lines : y=x+r, y=-x+r, where r in {0,...

    Text Solution

    |

  14. How many words can be formed out of the letters of the word, ARTICLE, ...

    Text Solution

    |

  15. The number of ways in which 9 persons can be divided into three equal ...

    Text Solution

    |

  16. A dictionary is printed consisting of 7 lettered words only that can b...

    Text Solution

    |

  17. The number of times the digit 5 will be written when listing the integ...

    Text Solution

    |

  18. How many numbers lying between 999 and 10000 can be formed with the he...

    Text Solution

    |

  19. The number of different words that can be formed from the letters of t...

    Text Solution

    |

  20. How many four digit numbers can be formed using digits 1, 2, 3, 4, 5 s...

    Text Solution

    |