Home
Class 11
MATHS
Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be t...

Let `A-=(6,7),B-=(2,3)a n dC-=(-2,1)` be the vertices of a triangle. Find the point `P` in the interior of the triangle such that ` P B C` is an equilateral triangle.

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 A(1, 4, 2), B(-2, 1, 2) and C(2, -3, 4) are the vertices of the triangle ABC, then find the angles of the triangle ABC.

Let A(0,beta), B(-2,0) and C(1,1) be the vertices of a triangle. Then Angle A of the triangle ABC will be obtuse if beta lies in

A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1) are the vertices of the triangle ABC. Show that the triangle ABC is right -angled.

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are

Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the centroid of the triangle moves on the line 2x+3y=1, then find the locus of the vertex Cdot

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angle (b) equilateral (c) isosceles (d) none of these

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin, find the coordinates of the third point.

Let A (2,3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line-

Plot the points (2,3), (6,3) and (4,7) in a graphsheet. Join them to make it a triangle. Find the area of the triangle.

Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If the centroid of Delta PQR lies on the line 2x + 3y = 1 , then the locus of R is _

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A triangle has two sides y=m1x and y=m2x where m1 and m2 are the root...

    Text Solution

    |

  2. Find the ratio in which the line 3x+4y+2 = 0 divides the distance betw...

    Text Solution

    |

  3. Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Fin...

    Text Solution

    |

  4. Find the equations of lines parallel to 3x-4y-5 = 0 at a unit distane ...

    Text Solution

    |

  5. Let P ("sin" theta, "cos"theta),(0 le theta le 2pi), be apoint in a tr...

    Text Solution

    |

  6. Find the equation of a straight line passing through the point (-5,4) ...

    Text Solution

    |

  7. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

    Text Solution

    |

  8. Consider the equation y-y1=m(x-x1) . If ma n dx1 are fixed and differe...

    Text Solution

    |

  9. If the straight line a x+c y=2b , where a , b , c >0, makes a triangle...

    Text Solution

    |

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

    Text Solution

    |

  11. The x-coordinates of the vertices of a square of unit area are the r...

    Text Solution

    |

  12. Consider a triangle with vertices A(1,2),B(3,1), and C(-3,0)dot Find t...

    Text Solution

    |

  13. If (x,y) is a variable point on the line y=2x lying between the lines ...

    Text Solution

    |

  14. A rectangle has two opposite vertices at the points (1, 2) and (5,5). ...

    Text Solution

    |

  15. If D , E ,a n dF are three points on the sides B C ,A C ,a n dA B of a...

    Text Solution

    |

  16. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  17. Let the sides of a parallelogram be U=a, U=b,V=a' and V=b', where U=lx...

    Text Solution

    |

  18. Find the image of the point (-8,12) which respect to the line 4x + 7y...

    Text Solution

    |

  19. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  20. In a triangle A B C , side A B has equation 2x+3y=29 and side A C has ...

    Text Solution

    |