Solution of Triangles questions
453 published questions with worked solutions.
- A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes...Not in JEE syllabus
- The angles A, B and C of a triangle ABC are in A.P. and a : b = 1 : 3. If c = 4 cm, then the area (in sq. cm) of this triangle is:Not in JEE syllabus
- A tower T_1 of height 60 m is located exactly opposite to a tower T_2 of height 80 m on a straight road. From the top of T_1, if...Not in JEE syllabus
- If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30° and the angle of depression of reflection...Not in JEE syllabus
- Given b + c 11 = c + a 12 = a + b 13 for a ΔABC with usual notation. If A = B = C , then the ordered triad (α, β, γ) has a value:Not in JEE syllabus
- In a triangle, the sum of lengths of two sides is x and the product of the lengths of the same two sides is y. If x^2 - c^2 = y,...Not in JEE syllabus
- Consider a triangular plot ABC with sides AB = 7 m, BC = 5 m and CA = 6 m. A vertical lamp-post at the mid point D of AC subtends...Not in JEE syllabus
- The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45º from a point A on the...Not in JEE syllabus
- A circle inscribed in an equilateral triangle of side of length 12. If the area and perimeter of any square inscribed in this...Not in JEE syllabus
- In a triangle ABC, BC = 7, AC = 8, AB = α ∈ N and cosA = 23. If 49cos(3C) + 42 = mn, where gcd(m, n) = 1, then m + n is equal to...Not in JEE syllabus
- Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is...Not in JEE syllabus
- The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the image of C...Not in JEE syllabus
- The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is found to...Not in JEE syllabus
- The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards the summit...Not in JEE syllabus
- The area of the triangle whose vertices are represented by the complex number 0, z, ze^ i , (0< < ) equalsNot in JEE syllabus
- Let A, B be points on the two half-lines x−√3|y|=α, α>0 at a distance of α from their point of intersection P. The line segment...Not in JEE syllabus
- Two vertices of a triangle ABC are A(3, −1) and B(−2, 3), and its orthocentre is P(1, 1). If the coordinates of the point C are...Not in JEE syllabus
- The position vectors of the vertices A, B and C of a triangle are 2 i - 3 j + 3 k, 2 i + 2 j + 3 k, and - i + j + 3 k,...Not in JEE syllabus
- Let the position vectors of the vertices A, B and C of a triangle be 2 i + 2 j + k, i + 2 j + 2 k and 2 i + j + 2 k respectively....Not in JEE syllabus
- Let P(3, 2, 3), Q(4, 6, 2) and R(7, 3, 2) be the vertices of ΔPQR. Then the angle ∠QPR isNot in JEE syllabus
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