Home
Class 10
MATHS
The given figure (not drawn to scale) sh...

The given figure (not drawn to scale) shows two straight lines AB and CD. If equation of the line AB is : `y = x + 1 ` and equation of line CD is :  `y = sqrt(3) x - 1`. Write down the inclination of lines AB and CD, also, find the angle `theta` between AB and CD.
 

Text Solution

Verified by Experts

The correct Answer is:
Inclination of `AB = 45^@`, inclination of CD = `60^@, theta = 15^@`
Promotional Banner

Topper's Solved these Questions

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(D)|41 Videos

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos

  • FACTORISATION

    ICSE|Exercise M.C.Q(Competency Based Questions )|15 Videos

Similar Questions

Explore conceptually related problems

The drawn alongiside (not drawn to scale) shows two stragit lines AB and CD. If the equation of line AB is: x - sqrt3 y + 5=0 and the equation of line CD is : x-y =2, write down the inclinations of lines AB and CD, also find the angle theta i.e., angle CPB.

(a) the figure drawn alongside shows two straight lines AB and CD . if the equation of the line AB is x-sqrt3y + 5=0 and the equation of the line CD is x-y=2 . write down the inclination of lines AB and CD; also find the angle theta i.e angle CPB (b) if cosectheta . cos( theta + 54^@)=1 .find the value of theta so that theta and (theta + 54 ^(@)) are acute angles.

The equation of a line AB is 2x - 2y + 3 = 0. Find the slope of the line AB.

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is

The figure given alongside shows two straight lines AB and CD intersecting each P (3,4) other at point P (3, 4). Find the equations 45^@ of AB and CD.

If AB ||CD in each of the following find x

In the following figure if AB||CD, find the value of x.

In the given figure, AB||CD . Find the angles x, y and z

Write down the equation of the line AB, through (3, 2) and perpendicular to the line 2y = 3x + 5 .

In the given figure, AB||CD and BC||AD . Find the values of x, y and z

ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. A line intersects x-axis at point (-2, 0) and cuts off an intercept of...

    Text Solution

    |

  2. Find the equation of a line passing through the point (2, 3) and havin...

    Text Solution

    |

  3. The given figure (not drawn to scale) shows two straight lines AB and ...

    Text Solution

    |

  4. Write down the equation of the line whose gradient is 3/2 and which pa...

    Text Solution

    |

  5. The ordinate of a point lying on the line joining the points (6, 4) an...

    Text Solution

    |

  6. Point A and B have co-ordinates (7, -3) and (1,9) respectively. Find :...

    Text Solution

    |

  7. Point A and B have co-ordinates (7, -3) and (1,9) respectively. Find :...

    Text Solution

    |

  8. Point A and B have co-ordinates (7, -3) and (1,9) respectively. Find :...

    Text Solution

    |

  9. A and B are two points on the x-axis and y-axis respectively. P(2, -3)...

    Text Solution

    |

  10. A and B are two points on the x-axis and y-axis respectively. P(2, -3)...

    Text Solution

    |

  11. A and B are two points on the x-axis and y-axis respectively. P(2, -3)...

    Text Solution

    |

  12. The equation of a line is 3x + 4y - 7 = 0. Find: the slope of the li...

    Text Solution

    |

  13. The equation of a line is 3x + 4y - 7 = 0. Find: the equation of a l...

    Text Solution

    |

  14. ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). ...

    Text Solution

    |

  15. ABCD is a parallelogram where A (x, y), B (5, 8), C (4, 7) and D 2, -4...

    Text Solution

    |

  16. Given equation of line L1 is y = 4   Write the slope of line L1 if...

    Text Solution

    |

  17. Given equation of line L1 is y = 4    Write the co-ordinates of po...

    Text Solution

    |

  18. Given equation of line L1 is y = 4   Find the equation of L2.

    Text Solution

    |

  19. Find :   equation of AB

    Text Solution

    |

  20. Find : equation of CD

    Text Solution

    |