Question:
Let A(3, 0, - 1) , B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the mid-point of AC. If G divides BM in the ratio 2:1, then cos( ∠GOA ) (O being the origin) is equal to______.
Let A(3, 0, - 1) , B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the mid-point of AC. If G divides BM in the ratio 2:1, then cos( ∠GOA ) (O being the origin) is equal to______.
Updated On: Mar 12, 2025
- 1/√15
- 1/2√15
- 1/√30
- 1/6√10
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is(A): 1/√15
Was this answer helpful?
0
0
Top Questions on Triangles
- The perimeters of two similar triangles are 22 cm and 33 cm respectively. If one side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.
- If the distance of a variable point \(P\) from a point \(A(2,-2)\) is twice the distance of \(P\) from the Y-axis, then the equation of locus of \(P\) is:
- The image of a point \( (2, -1) \) with respect to the line \( x - y + 1 = 0 \) is
- The coordinate axes are rotated about the origin in the counterclockwise direction through an angle \( 60^\circ \). If \( a \) and \( b \) are the intercepts made on the new axes by a straight line whose equation referred to the original axes is \( x + y = 1 \), then \( \dfrac{1}{a^2} + \dfrac{1}{b^2} = \, ? \)
- If in \( \triangle ABC \), \( B = 45^\circ \), \( a = 2(\sqrt{3} + 1) \) and area of \( \triangle ABC \) is \( 6 + 2\sqrt{3} \) sq. units, then the side \( b = \ ? \)
View More Questions
Questions Asked in CUET PG exam
- Which tense is appropriate: How did Saira ?
- Find the error: "One of my friends is going to (part B)". Which verb is correct?
- CUET (PG) - 2025
- Error Spotting
- Identify the possessive noun: My office car is parked elsewhere.
- What do you call a person who works for the welfare of humans?
- CUET (PG) - 2025
- One Word Substitution
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
View More Questions