Home
Class 14
MATHS
The equation ax + by + c = 0 , represent...

The equation ax + by + c = 0 , represents a straight line

A

for all real numbers a , b and c

B

only when `a ne0`

C

only when b `ne 0`

D

only when at least one of a and b is non zero

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos

  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

Similar Questions

Explore conceptually related problems

The equation ax^(n)+by^(n)+c=0 represents a straight line if .

Statement -1 : If a,b,c are parameters such that 3a + 2b+4c=0, then the family of lines ax +by+ c =0 pass through a fixed point (3,2). and Statement -2: The equation ax + by + c =0 wil represent a family of straight lines passing through a fixed point if there exist a linear relation between a, b and c.

If the equation hxy + gx + fy + c = 0 represents a pair of straight lines, then

Every first degree equation in x, y represents a straight line.

Let (a,b,c)ne(0,0,0) . The pair of equations which does not represent a straight line is

Theorem :-Every first degree equation in x;y represents a straight line.

If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
  1. The equation ax + by + c = 0 , represents a straight line

    Text Solution

    |

  2. What is the angle between the lines x cos alpha + y sin alpha = a and ...

    Text Solution

    |

  3. What is the distance between the points P ( m cos 2 alpha , m sin 2 al...

    Text Solution

    |

  4. An equilateral triangle has one vertex at (-1 , -1) and another vertex...

    Text Solution

    |

  5. The straight lines x + y - 4 = 0 , 3x + y - 4 = 0 , x + 3y - 4 = 0 for...

    Text Solution

    |

  6. What is the equation of straight line which is perpendicular to y = x ...

    Text Solution

    |

  7. If the lines 3 y + 4 x = 1 , y = x +5 and 5y + b x= 3 are concurrent ...

    Text Solution

    |

  8. The points (1 , 3) and (5 , 1) are two opposite vertices of a rectangl...

    Text Solution

    |

  9. Consider the following statements : 1 . For an equation of a line x ...

    Text Solution

    |

  10. What is the area of the triangle with vertices (x(1) , (1)/(x(1))) * ...

    Text Solution

    |

  11. Simplify:- 32.03% of 259.99 = ?

    Text Solution

    |

  12. What is the equation of straight line pass through the point of inters...

    Text Solution

    |

  13. Consider the following statements : I . The distance between the lin...

    Text Solution

    |

  14. If the lines lx + my + n = 0, mx + ny + l = 0 and nx + ly + m = 0 are ...

    Text Solution

    |

  15. The second degree equation x^(2) + 4y - 2x -4y + 2= 0 represents

    Text Solution

    |

  16. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

    Text Solution

    |

  17. Find the equation of the line which cuts off intercepts 2 and 3 from t...

    Text Solution

    |

  18. Two straight lines x - 3y - 2 = 0 and 2x - 6y - 6 =0

    Text Solution

    |

  19. What is the equation of the straight line passing through the point (2...

    Text Solution

    |

  20. If p is the length of the perpendicular from the origin to the line (x...

    Text Solution

    |