Home
Class 12
MATHS
A line is drawn through the point (1, 2)...

A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the triangle OPQ is least, then the slope of the line PQ is (1) `-1/4` (2) `-4` (3) `-2` (4) `-1/2`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A line is drawn through the point (1,2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ ,where 0 is the origin.If the area of the triangle OPQ is least,the slope of the line PQ is k ,then |k| =

A variable line through the point P(2,1) meets the axes at A and B .Find the locus of the centroid of triangle OAB (where O is the origin).

A straight line passing through the point (87, 33) cuts the positive direction of the coordinate axes at the point P and Q. If Q is the origin then the minimum area of the triangle OPQ is.

A variable line through point P(2,1) meets the axes at A and B. Find the locus of the circumcenter of triangle OAB (where O is the origin.

If a straight line I passing through P(3,4) meets positive co-ordinate axes at A &B such that area of triangle OAB is minimum (where O is origin) then slope of I is

Find the slope of the line through the points: (3, -2) and (-1, 4)

RESONANCE DPP-JEE MAINS-All Questions
  1. If Pa n dQ are sum and product respectively of all real values of x ...

    Text Solution

    |

  2. If sin^2theta1+sin^2theta2+sin^2theta3=0, then which of the following ...

    Text Solution

    |

  3. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  4. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  5. If px^4+qx^3+rx^2+sx+t=|(x^2+3x,x-1,x+3),(x+1,2-x,x-3),(x-3,x+4,3x)| ...

    Text Solution

    |

  6. If the radius of the circumcircle of the triangle TPQ, where PQ is ch...

    Text Solution

    |

  7. The centers of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  8. The length of the chord of contact of the tangents drawn from the poin...

    Text Solution

    |

  9. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  10. The internal common tangents to two circles with centre C1 and C2 in...

    Text Solution

    |

  11. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  12. If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b...

    Text Solution

    |

  13. If a ,b ,c are sides of a scalene triangle, then value of |a b c b c a...

    Text Solution

    |

  14. The inverse of a skew symmetric matrix of odd order is 1)a symmetric ...

    Text Solution

    |

  15. If | (a+1,a+2, a+p), (a+2, a+3,a+q), (a+3,a+4,a+r)|=0,then p ,q ,r ar...

    Text Solution

    |

  16. A circle with center in the first quadrant is tangent to y = x+10, y =...

    Text Solution

    |

  17. Line x/a+y/b=1 cuts the coordinate axes at A(a ,0)a n dB(0,b) and th...

    Text Solution

    |

  18. If the radius of the circumcircle of the triangle TPQ, where PQ is ch...

    Text Solution

    |

  19. If A=[1 4 7 2 6 5 3-1 2] a n d B=d i ag(125) , then trace of matrix A ...

    Text Solution

    |

  20. If y=f(x) has following graph, then match the column.

    Text Solution

    |