Home
Class 11
MATHS
The straight line a x+b y+c=0 , where a ...

The straight line `a x+b y+c=0` , where `a b c!=0,` will pass through the first quadrant if (a) `a c >0,b c >0` (b) `ac >0 or b c<0` (c)`b c >0` or `a c >0` (d) `a c<0` or `b c<0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

If the straight line a x+c y=2b , where a , b , c >0, makes a triangle of area 2 sq. units with the coordinate axes, then (a) a , b , c are in GP (b) a, -b, c are in GP (c) a ,2b ,c are in GP (d) a ,-2b ,c are in GP

If a+b+c=0, then the straight lines 4ax + 3by+c=0 always pass through a fixed whose coordinates are-

If the line a x+b y+c=0 is a normal to the curve x y=1, then (a) a >0,b >0 (b) a >0,b >0 (d) a 0

The straight lines 4a x+3b y+c=0 passes through which point? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (c) (1/2,1/3) (d) none of these

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c 0 (c) a >0

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a) (a , b) (b) (b ,a) (c) (-a ,-b) (d) none of these

Show that for all values of a,b and c the line (b-c)x+(c-a)y+a-b=0 always passes through the point (2,3).

Prove that the straight lines ax+by+c=0,bx+cy+a=0and cx+ay+b=0 are concurrent if a+b+c=0.When a!=b!=c .

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c b. b c >0 c. a b >0 d. a b c<0

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the condition in a,b such that the portion of the line ax+by=1, i...

    Text Solution

    |

  2. One diagonal of a square is along the line 8x-15y=0 and one of its ver...

    Text Solution

    |

  3. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

    Text Solution

    |

  4. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  5. If the sum of the distances of a point from two perpendicular lines i...

    Text Solution

    |

  6. A B C is a variable triangle such that A is (1, 2), and Ba n dC on the...

    Text Solution

    |

  7. Consider a DeltaABC in which sides AB and AC are perpendicular to x-y...

    Text Solution

    |

  8. Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2...

    Text Solution

    |

  9. Column I|Column II a.Four lines x+3y-10=0,x+3y-20=0,3x-y+5=0,a n d...

    Text Solution

    |

  10. The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 for...

    Text Solution

    |

  11. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  12. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  13. The area of the triangular region in first quadrant bounded on the lef...

    Text Solution

    |

  14. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

    Text Solution

    |

  15. Line L(1) -=ax+by+c=0 " and " L(2) -= lx+my+n=0 intersect at point P a...

    Text Solution

    |

  16. Let ABC be a triangle with AB=AC. If D is the midpoint of BC, E is the...

    Text Solution

    |

  17. For agtbgtcgt0, the distance between (1 ,1) and the point of intersect...

    Text Solution

    |

  18. A straight lines L through the point ( 3, 2) is inclined at an angle ...

    Text Solution

    |

  19. The locus of the orthocenter of the triangle formed by the line (1+p)x...

    Text Solution

    |

  20. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |