Solution of Triangles questions
453 published questions with worked solutions.
- In a triangle XYZ, let x,y,z be the lengths of sides opposite to the angles X,Y,Z, respectively, and 2s=x+y+z. If s-x 4 = s-y 3 =...Not in JEE syllabus
- Let O be the origin and let PQR be an arbitrary triangle. The point S is such that OP OQ + OR OS = OR OP + OQ OS = OQ OR + OP OS...Not in JEE syllabus
- In a triangle PQR, let PQR=30^ and the sides PQ and QR have lengths 10 3 and 10, respectively. Then, which of the following...Not in JEE syllabus
- In a non-right-angled triangle PQR, let p,q,r denote the lengths of the sides opposite to the angles at P,Q,R respectively. The...Not in JEE syllabus
- (-6, 0), (0, 6) And (-7, 7) are the vertices of ABC. The incircle of the triangle has equationNot in JEE syllabus
- A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60^ to 45^ in...Not in JEE syllabus
- From the top of a lighthouse, 100 m high, the angle of depression of a boat is ^ -1 ( 5 12 ). What is the distance between the...Not in JEE syllabus
- The angle of elevation of a stationary cloud from a point 25 m above a lake is 15^ and the angle of depression of its image in...Not in JEE syllabus
- In a triangle ABC, a-2b+c=0. The value of ( A 2 ) ( C 2 ) isNot in JEE syllabus
- In triangle ABC, if ^2A+ ^2B+ ^2C ^2A+ ^2B+ ^2C =2 then the triangle isNot in JEE syllabus
- In a triangle ABC if a=2, b=3 and A=2/3, then what is angle B equal to?Not in JEE syllabus
- ABC is a triangle inscribed in a circle with centre O. Let = BAC, where 45^ < <90^ . Let = BOC. Which one of the following is...Not in JEE syllabus
- A spherical balloon of radius r subtends an angle at the eye of an observer, while the angle of elevation of its centre is . What...Not in JEE syllabus
- Consider the following statements : Statement I : If the line segment joining the points P(m, n) and Q(r, s) subtends an angle at...Not in JEE syllabus
- If the angles of a triangle ABC are in AP and b : c= 3 : 2 , then what is the measure of angle A?Not in JEE syllabus
- Consider the following statements : 1. If ABC is a right-angled triangle, right-angled at A and if B= 1 3 , then cosec ,C=3. 2....Not in JEE syllabus
- Consider the following statements : 1. If in a triangle ABC, A=2B and b=c, then it must be an obtuse-angled triangle. 2. There...Not in JEE syllabus
- The shadow of a tower becomes x metre longer, when the angle of elevation of sun changes from 60^ to . If the height of the tower...Not in JEE syllabus
- Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the...Not in JEE syllabus
- What is the diameter of a circle inscribed in a regular polygon of 12 sides, each of length 1 cm?Not in JEE syllabus
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