Home
Class 11
MATHS
P is a point on the line y+2x=1, and Qa ...

`P` is a point on the line `y+2x=1,` and `Qa n dR` two points on the line `3y+6x=6` such that triangle `P Q R` is an equilateral triangle. The length of the side of the triangle is

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

Draw a equilateral triangle with length of side 6 cm .

if P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9 then the area of triangle OPQ is

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is

The equation to the base of an equilateral triangle is x+y=2and its vertex is at (2,-1) . Find the length of a side of the triangle.

If the equation of the base of an equilateral triangle is 2x - y=1 and the vertex is (-1,2), then the length of a side of the triangle is-

The equation to the base of an equilateral triangle is 4x-3y+10=0 and its vertex is at (-2,-1), find the length of a side of the triangle.

The distance between two parallel lines is unity. A point P lies between the lines at a distance a from one of them. Find the length of a side of an equilateral triangle PQR, vertex Q of which lies on one of the parallel lines and vertex R lies on the other line.

If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then find length of each sides of an equilateral triangle SMP(where S is the focus of the parabola).

The distance between the two lines represented by the sides of an equilateral triangle a right-angled triangle an isosceles triangle

If a pair of perpendicular straight lines drawn through the origin forms an isosceles triangle with the line 2x+3y=6 , then area of the triangle so formed is

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  2. The coordinates of two consecutive vertices A and B of a regular hexag...

    Text Solution

    |

  3. P is a point on the line y+2x=1, and Qa n dR two points on the line 3y...

    Text Solution

    |

  4. The distance of origin from line (1+sqrt(3))y+1(1-sqrt(3))x=10 " measu...

    Text Solution

    |

  5. In A B C , the coordinates of the vertex A are (4,-1) , and lines x-y...

    Text Solution

    |

  6. If the equation of any two diagonals of a regular pentagon belongs t...

    Text Solution

    |

  7. If it is possible to draw a line which belongs to all the given family...

    Text Solution

    |

  8. The locus of the image of the point (2,3) in the line (x-2y+3)+lambda...

    Text Solution

    |

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

    Text Solution

    |

  10. If P(1+alpha/sqrt2 ,2+ alpha/sqrt2) be any point on a line, then the r...

    Text Solution

    |

  11. If the intercepts made by the line y=mx by lines y=2 and y=6 is less t...

    Text Solution

    |

  12. If the extremities of the base of an isosceles triangle are the points...

    Text Solution

    |

  13. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  14. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  15. If lines x+2y-1=0,a x+y+3=0, and b x-y+2=0 are concurrent, and S is th...

    Text Solution

    |

  16. L1a n dL2 are two lines. If the reflection of L1onL2 and the reflectio...

    Text Solution

    |

  17. A-=(-4,0),B-=(4,0)dotMa n dN are the variable points of the y-axis s...

    Text Solution

    |

  18. If sin(alpha+beta)sin(alpha-beta)=singamma(2sinbeta+singamma), where ...

    Text Solution

    |

  19. Let P be (5,3) and a point R on y=x and Q on the x-axis such that PQ+O...

    Text Solution

    |

  20. Given A(0,0) and B(x,y) wih x in (0,1) " and " y gt 0. Let the slope o...

    Text Solution

    |