Home
Class 11
MATHS
Which of the following sets of points fo...

Which of the following sets of points form an equilateral triangle? `(a)(1,0),(4,0),(7,-1)` `(b)(0,0),(3/2,4/3),(4/3,3/2)` `(c)(2/3,0),(0,2/3),(1,1)` (d) None of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Show that the following points form an equilateral triangle A(a, 0), B(-a, 0), C(0, a sqrt(3))

Which of the following is more paramagnetic ? Co^(2+)(3d^(7)4s^(0)), Cu^(2+)(3d^(9)4s^(0))

Where do the following points lie? (i) (0,-2,3) (ii) (0,0,-3) (iii) (2,1,0) (iv) (2,0,0) (v) (3,0,-4)

Which of the following represents a points in an Argand pane, equidistant from the roots of the equation (z+1)^4=16 z^4? a. (0,0) b. (-1/3,0) c. (1/3,0) d. (0,2/(sqrt(5)))

Show that the following points are coplanar: (i) (3,9,4),(4,5,1),(-4,4,4) and (0,-1,-1) (ii) (-1,-5,-3),(1,1,-1),(0,4,3) and (-2,-2,1)

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, then the value of p for which the area of triangle A B C is the minimum is (a) 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) 1/(sqrt(2)) (d) none of these

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

Express the following sets in set-builder method: B={0,1/2,2/3,3/4,4/5,5/6,......} ,

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

    Text Solution

    |

  2. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  3. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |

  4. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

    Text Solution

    |

  5. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  6. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |

  7. Find the number points (both the coordinates should be integer) exactl...

    Text Solution

    |

  8. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  9. Find the orthocentre of the triangle whose vertices are (0,0),(3,0)...

    Text Solution

    |

  10. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

    Text Solution

    |

  11. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  12. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

    Text Solution

    |

  13. O P Q R is a square and M ,N are the midpoints of the sides P Q and Q ...

    Text Solution

    |

  14. If sum(i=1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...

    Text Solution

    |

  15. In an acute triangle A B C , if the coordinates of orthocentre H are (...

    Text Solution

    |

  16. Consider the points O(0,0), A(0,1), and B(1,1) in the x-y plane. Suppo...

    Text Solution

    |

  17. If all the vertices of a triangle have integral coordinates, then th...

    Text Solution

    |

  18. The locus of a point reprersented by x=a/2((t+1)/t),y=a/2((t-1)/t) , w...

    Text Solution

    |

  19. The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the ...

    Text Solution

    |

  20. The ends of a diagonal of a square are (2,-3) and (-1,1)dot Another ve...

    Text Solution

    |