Home
Class 10
MATHS
(a) the figure drawn alongside shows two...

(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.

Text Solution

Verified by Experts

The correct Answer is:
`10^(@)`
Promotional Banner

Topper's Solved these Questions

  • REVISION PAPER -5

    ICSE|Exercise SECTION B|28 Videos
  • REVISION PAPER -4

    ICSE|Exercise SECTION - B|26 Videos
  • SAMPLE PAPER 1

    ICSE|Exercise Questions (Section - C)|12 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.

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.

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

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.

Write the equation of the line for which tantheta=1/2, where theta is the inclination of the line and y-intercept is -3/2

The equation of a line AB is 2x - 2y + 3 = 0. Calculate the angle that the line AB makes with the positive direction of the x-axis.

Find the equartion of the line for which tan theta=1/2, where theta is the inclination of the line and (a) x-intercept is -2 (b) y-intercept is 1/2

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

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

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

ICSE-REVISION PAPER -5-SECTION B
  1. If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0...

    Text Solution

    |

  2. Show that , if A = [{:(1,3),(2,6) :}] and B = [{:(-1,4), (2,1):}] the...

    Text Solution

    |

  3. Prove that angle in the same segment of a circle are equal.

    Text Solution

    |

  4. On a graph paper, plot the triangle ABC whose vertices are at the poin...

    Text Solution

    |

  5. The point P divides the joining of (2,1) and (-3,6) in the ratio 2:3. ...

    Text Solution

    |

  6. In the given TA is a tangent to the cirlce and TBC is a secant. If AD ...

    Text Solution

    |

  7. The ends of a diagonal of a square have co-ordinates (-2,p) and (p,2) ...

    Text Solution

    |

  8. If have shares of three companies A,B and C in the ratio 2:3:4. Compan...

    Text Solution

    |

  9. Tickets numbered from 1 to 20 are mixed up together and then a ticket ...

    Text Solution

    |

  10. A solid toy is in the form of a right circular cylinder with a hemi...

    Text Solution

    |

  11. The surface area of a solid metallic sphere is 10256 cm^(2). It is mel...

    Text Solution

    |

  12. The marks obtained (out of 100) by 400 students in an examination are...

    Text Solution

    |

  13. The marks obtained (out of 100) by 400 students in an examination are...

    Text Solution

    |

  14. The marks obtained (out of 100) by 400 students in an examination are...

    Text Solution

    |

  15. If 49- 5x le 27 - x, find, the smallest value of x, when x is a rea...

    Text Solution

    |

  16. If 49- 5x le 27 - x, find, the smallest value of x, when x is an in...

    Text Solution

    |

  17. The drawn alongiside (not drawn to scale) shows two stragit lines AB a...

    Text Solution

    |

  18. If cosec theta .cos (theta + 54 ^(@)) = 1, find the value of theta

    Text Solution

    |

  19. (a) the figure drawn alongside shows two straight lines AB and CD . if...

    Text Solution

    |

  20. Solve using formula : 6x ^(2) - 35 x + 50 = 0

    Text Solution

    |