Question
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, ∠PQS = 58°. Find ∠RPS = ?
In ∆ PQS ∠QPS + ∠PQS + ∠PSQ = 180° ∠QPS + 58° + 90° = 180° ∠QPS = 32° 
∠QCR = 2∠QPR (∠QCR)/2 = ∠QPR 140/2 = ∠QPS + ∠RPS 70° = 32° + ∠RPS ∠RPS = 38°More Geometry Questions
- Determine the difference between an angle and its complementary angle, given that the angle is two-thirds of its complement.
- The radius of a circle is 10 cm, and the length of the chord is 12 cm. Find the distance between the chord and the centre of the circle.
- In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm. BR = 4 cm. PB = 6 cm. PA = 5 cm and AD =...
- What will be inradius of a right angle triangle whose base is 28 cm & height is 45 cm ?
- What is the inradius of a right-angled triangle if its base measures 20 cm and its height (perpendicular) is 21 cm?
- AB and AC are two Chords of a circle with centre O. M and N are the mid points of the chords respectively. The line OM and ON are extended which intersects...
- If O is circumcentre of acute angled triangle ABC, if ∠ BAC = 70˚ then ∠ BOC = ?
- Find the radius of the sphere whose volume is 562.5π cm3
- Question 9
- The area of an equilateral triangle is 4√3 sq m. Its perimeter is
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)