Home
Class 10
MATHS
In the figure, given alongside, /QPS = /...

In the figure, given alongside, `/_QPS = /_RPT `
and `/_PRQ = /_PTS`.

If PT : ST = 3:4, find the ratio between QR : PR.

Text Solution

Verified by Experts

The correct Answer is:
`QR : PR = 4:3`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(A)|48 Videos

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(B)|17 Videos

  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos

  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

In the figure, given alongside, /_QPS = /_RPT and /_PRQ = /_PTS . Prove that triangles PQR and PST are similar.

By splitting the figure given alongside into rectangles, find the area.

In the figure given alongside PQ=QR, /_RQP=68^(@) , PC and QC are tangents to the circle with centre O. Calculate the values of (i) /_QOP (ii) /_QCP .

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Find the lengths of QR and PS.

In the given figure, XY || QR, PQ/XQ=7/3 and PR = 6.3 cm, find YR

In the figure, given alongside, CD is a diameter which meets the chord AB at E, such that AE = BE = 4 cm. If CE is 3 cm, find the radius of the circle.

In the adjoining figure PQ = PR and angle PRQ = 70^(@) Find angle QPR.

In the given figure tangent PT=12.5 cm and PA=10cm, find AB.

In the given figure, PQR is an equilateral triangle and OSPT is a square. If OT=2sqrt2 units find the equation of lines OT, OS, SP, QR, PR, and PQ .

In the given figure, PT is a tangent to the circle with centre O. If OT=6cm and OP=10cm, thcn find the length of tangent PT.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. In the figure, given alongside, /QPS = /RPT and /PRQ = /PTS. I...

    Text Solution

    |

  2. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  3. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  4. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  5. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  6. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  7. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  8. In the following figure, AB, CD and EF are perpendicular to the straig...

    Text Solution

    |

  9. Triangle ABC is similar to triangle PQR. If AD and PM are correspondin...

    Text Solution

    |

  10. Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of...

    Text Solution

    |

  11. Triangle ABC is similar to triangle PQR. If bisector of angle BAC meet...

    Text Solution

    |

  12. In the following figure, /AXY = /AYX.. If (BX)/(AX) = (CY)/(AY) , show...

    Text Solution

    |

  13. In the following diagram, lines l, m and n are parallel to each other....

    Text Solution

    |

  14. In the following figure, DE||AC and DC||AP. Prove that : (BE)/(EC) = (...

    Text Solution

    |

  15. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

    Text Solution

    |

  16. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

    Text Solution

    |

  17. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm.   Pro...

    Text Solution

    |

  18. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

    Text Solution

    |

  19. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

    Text Solution

    |

  20. In the given triangle P, Q and R are the mid points of sides AB, BC an...

    Text Solution

    |

  21. In the following figure, AD and CE are medians of DeltaABC. DF is draw...

    Text Solution

    |