Solution of Triangles questions
453 published questions with worked solutions.
- The angle of elevation of the top of a tower from a point A due north of it is and from a point B at a distance of 9 units due...Not in JEE syllabus
- Let A, B, C be three points whose position vectors respectively are a = i + 4 j + 3 k , b = 2 i + j + 4 k , R, c = 3 i - 2 j + 5...Not in JEE syllabus
- From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is 60°. The pole subtends an angle 30°...Not in JEE syllabus
- Let a = i + 3 j - k , b = 3 i - j + 4 k and c = i + 2 j - 2 k where , R, be three vectors. If the projection of a on c is 10/3...Not in JEE syllabus
- The angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of A is y. If AB=z,...Not in JEE syllabus
- The angle of elevation of the top P of a tower from the feet of one person standing due south of the tower is 45° and from the...Not in JEE syllabus
- In a triangle ABC, if cos A + 2cos B + cos C = 2 and the lengths of the sides opposite to the angles A and C are 3 and 7...Not in JEE syllabus
- Let the plane x + 3y – 2z + 6 = 0 meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle ABC is ( ,...Not in JEE syllabus
- A triangle is formed by the tangents at the point (2, 2) on the curves y^2=2x and x^2+y^2=4x, and the line x + y + 2 = 0. If r is...Not in JEE syllabus
- In a triangle ABC with fixed base BC, the vertex A moves such that B + C = 4 ^2 A 2 . If a, b and c denote the lengths of the...Not in JEE syllabus
- Let ABC and ABC′ be two non-congruent triangles with sides AB = 4, AC = AC' = 2 2 and angle B = 30°. The absolute value of the...Not in JEE syllabus
- The equation of a circle with origin as a centre and passing through equilateral triangle whose median is of length 3a isNot in JEE syllabus
- In a triangle with sides a, b, c, r_1 > r_2 > r_3 (which are the ex-radii) thenNot in JEE syllabus
- The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a, isNot in JEE syllabus
- If in a triangle ABC a ^2 ( C 2 ) + c ^2 ( A 2 ) = 3b 2 , then the sides a, b and cNot in JEE syllabus
- A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the...Not in JEE syllabus
- The sides of a triangle are , and 1 + for some 0 < < 2 . Then the greatest angle of the triangle isNot in JEE syllabus
- If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then A, B, C are inNot in JEE syllabus
- In a triangle ABC, let C = 2 . If r is the inradius and R is the circumradius of the the triangle ABC, then 2(r + R) equalsNot in JEE syllabus
- A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB(= a) subtends an...Not in JEE syllabus
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