Home
Class 10
MATHS
The vertices of a DeltaABC are A(3, 8), ...

The vertices of a `DeltaABC` are A(3, 8), B(-1, 2) and C(6, 6). Find :
(i) Slope of BC.
(ii) Equation of a line perpendicular to BC and passing through A.

Text Solution

Verified by Experts

The correct Answer is:
`(i) -(8)/(7) (ii) 7x-8y+43=0`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    ICSE|Exercise SECTION B |20 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise Competency Based Questions|10 Videos

  • QUESTION PAPER 2022 TERM 1

    ICSE|Exercise QUESTIONS |33 Videos

Similar Questions

Explore conceptually related problems

The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the slope of the altitude to BC

The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the slope of the altitude to AC

The vertices of DeltaABC are A(-3,2) , B(0,3) and C(1,0) . Find the equation of the median through B .

The vertices of a triangle are A (0, 5), B (-1, -2) and C (11, 7). Write down the equations of BC and the perpendicular from A to BC and hence find the co-ordinates of the foot of the perpendicular.

The co-ordinates of the vertices of a DeltaABC are A(1, 0) , B(3, 6) and C(3, 2) . Find the length of its medians.

Find the equation of a line perpendicular to the line x-2y+3=0 and passing through the point (1, 2) .

Find the equation of a line perpendicular to the line x-2y+3=0 and passing through the point (1, -2) .

The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3) . Find the equation of the line parallel to BC and intersecting the sides OB and OC and whose perpendicular distance from the origin is 1/2 .

The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3) . Find the equation of the line parallel to BC and intersecting the sides OB and OC and whose perpendicular distance from the origin is 1/2 .

The vertices A, B, C of a triangle ABC have co-ordinates (4,4), (5,3) and (6,0) respectively. Find the equations of the perpendicular bisectors of AB and BC, the coordinates of the circumcentre and the radius of the circumcircle of the triangle ABC.

ICSE-QUESTION PAPER 2019-SECTION B
  1. There are 25 disc numbered 1 to 25. They are put in a closed box and s...

    Text Solution

    |

  2. Rekha opened a recurring deposite account for 20 months. The rate of i...

    Text Solution

    |

  3. Use a graph sheet for this question. Take 1 cm = 1 unit along both x a...

    Text Solution

    |

  4. In the given figure, angle PQR = anglePST = 90^(@), PQ = 5 cm and PS =...

    Text Solution

    |

  5. The first and last term of a geometrical Pregression (G.P.) are 3 and ...

    Text Solution

    |

  6. A hemispherical and a conical hole are scooped out of a solid wooden ...

    Text Solution

    |

  7. In the given figure AC is a tangent to the circle with centre O. If a...

    Text Solution

    |

  8. The model of a building is constructed with the scale factor 1:30. (...

    Text Solution

    |

  9. The model of a building is constructed with the scale factor 1 : 30. ...

    Text Solution

    |

  10. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  11. The sum of the first three terms of an Arithmeic Progression (A.P.) is...

    Text Solution

    |

  12. The vertices of a DeltaABC are A(3, 8), B(-1, 2) and C(6, 6). Find : ...

    Text Solution

    |

  13. Using ruler and a compass only, construct a semi-circle with diameter ...

    Text Solution

    |

  14. The data on the number of patients attending a hospital in a month are...

    Text Solution

    |

  15. Using properties of proportion solve for x, given (sqrt(5x)+sqrt(2x-...

    Text Solution

    |

  16. Sachin invests Rs. 8,500 in 10%, Rs. 100 shares at Rs. 170. He sells ...

    Text Solution

    |

  17. A man observes the angle of elevation of the top of the tower to be 45...

    Text Solution

    |

  18. Using the Remainder Theorem find the remainders obtained when x^(3...

    Text Solution

    |

  19. The product of two consecutive natural numbers which are multliples of...

    Text Solution

    |

  20. In the given figure, ABCDE is a pentagone inscribed in a circle such ...

    Text Solution

    |