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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (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

If b^2>4a c then roots of equation a x^4+b x^2+c=0 are all real and distinct if: (a) b 0 (b) b 0,c>0 (c) b>0,a>0,c>0 (d) b>0,a<0,c<0

If quadratic equation ax^2+bx+c=0 does not have real roots, then which of the following may be false (a) a(a-b+c) gt 0 (b) c(a- b+c)>0 e) b(a- b+c) gt 0 (d) a +b+c) (a-b+c)gt0

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b cdot

If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (c) (-1,2) (d) (-1,1)

Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f(x) is differentiable at x=0, if a=0 (b) b=0 (c) c=0 (d) none of these

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are a ,c (b) b ,c a ,b (d) a+c ,b+c

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The condition on a and b , such that the portion of the line a x+b y-...

    Text Solution

    |

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

    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 in...

    Text Solution

    |

  6. ABC is a variable triangle such that A is (1, 2), and B and C on the l...

    Text Solution

    |

  7. Consider a A B C is which side A Ba n dA C are perpendicular to x-y-4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Lines L1-=a x+b y+c=0 and L2-=l x+m y+n=0 intersect at the point P and...

    Text Solution

    |

  15. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

    Text Solution

    |

  16. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  17. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  18. The locus of the orthocentre of the triangle formed by the lines (1+p)...

    Text Solution

    |

  19. The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equ...

    Text Solution

    |

  20. Let the algebraic sum of the perpendicular distance from the points (2...

    Text Solution

    |