Home
Class 12
MATHS
The set of values of b for which the ori...

The set of values of b for which the origin and the point (1, 1) lie on the same side of the straight line, `a^2 x + a by + 1= 0 AA ainR, bgt 0` are(A) `b in (2,4)` (B)` b in(0, 2)` (C) `b in [0, 2]`(D) `(2, oo)`

A

`b in (2,4)`

B

`b in (0,2)`

C

`bin [0,2]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 1 : (Single Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 2 : (More than One Correct Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The value of b for which the equation x^2+bx-1=0 and x^2+x+b=0 have one root in common is

The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b) 2 (c) 5 (d) none of these

Plot the following points and verify if they lie on a line. If they lie on a line, name it. A (1, 1), B (1, 2), C (1, 3), D (1, 4)

Statement 1 :If the point (2a-5,a^2) is on the same side of the line x+y-3=0 as that of the origin, then a in (2,4) Statement 2 : The points (x_1, y_1)a n d(x_2, y_2) lie on the same or opposite sides of the line a x+b y+c=0, as a x_1+b y_1+c and a x_2+b y_2+c have the same or opposite signs.

Determine the value of k so that the lie joining the points A(k,1,-1), B(2,0,2k) is perpendicular to the line joining the points C(4,2k,1) and D(2,3,2)

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is a=b (b) a+b=0 a=2b (d) 2a=b

The number of values of c such that the straight line y=4x+c touches the curve (x^2)/4+(y^2)/1=1 is (a) 0 (b) 1 (c) 2 (d) infinite

If the straight lines a x + m ay + 1 =0 b x + ( m +1) by + 1 =0 cx + (m+2) cy +1 =0, m ne0 are concurrent, then a, b, c are in :

If 3x-by+2=0 and 9x+3y+a=0 represent the same straight line, find the values of a and b.

Statement I : The lines x(a+2b) +y(a+3b)=a+b are concurrent at the point (2,-1) Statement II : The lines x+y -1 =0 and 2x + 3y -1 = 0 intersect at the point (2,-1)

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  2. A straight line passing through the point(2,2) and the axes enclose an...

    Text Solution

    |

  3. The set of values of b for which the origin and the point (1, 1) lie o...

    Text Solution

    |

  4. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  5. If the distance of any point (x,y) from origin is defined as d(x,y)=ma...

    Text Solution

    |

  6. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  7. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  8. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  9. f is a function defined by f(x) = |x - 1| + 3. Find f(-9).

    Text Solution

    |

  10. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A tr...

    Text Solution

    |

  11. If P(1,0) ,Q(-1,0) and R(2,0) are three given points ,then the locus o...

    Text Solution

    |

  12. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  13. The line x+y=1 meets X - axis at A and Y - axis at B,P is the mid poin...

    Text Solution

    |

  14. Solve the following system of inequalities graphically : 4x + 6y le 24...

    Text Solution

    |

  15. The straight lines x+ 2y -9 =0, 3x +5y - 5 = 0 and ax+by-1 = 0 are c...

    Text Solution

    |

  16. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  17. Consider a point A(m,n) , where m and n are positve intergers. B is th...

    Text Solution

    |

  18. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  19. If a pair of perpendicular straight lines drawn through the origin f...

    Text Solution

    |

  20. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |