Question:
Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
Updated On: Oct 7, 2024
- 2x + 3y = 9
- 2x - 3y = 7
- 3x + 2y = 5
- 3x - 2y = 3
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): 2x + 3y = 9
Was this answer helpful?
0
0
Top Questions on Triangles
- Prove that if a straight line is drawn parallel to one side of a triangle to intersect the other two sides in two distinct points, then the other two sides are divided by those points in the same ratio.
- 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 \( \dfrac{1}{a^2} + \dfrac{1}{b^2} = \, ? \)
View More Questions
Questions Asked in SRMJEEE exam
- A current of 2 A passes through a coil of 100 turns, producing a magnetic flux of 5 × 10⁻⁵ Wb per turn. What is the magnetic energy associated with the coil?
- SRMJEEE - 2025
- Magnetic Field
- A box contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
- SRMJEEE - 2025
- Probability
- Calculate the Reynolds number for a liquid with density 1 g/cm³ and viscosity 8 × 10⁻⁴ Pa·s, flowing at 0.5 m/s through a pipe of diameter 4 cm.
- SRMJEEE - 2025
- Viscosity
- Markovnikov's rule is applicable to which of the following reactions?
- SRMJEEE - 2025
- Chemical Reactions
- The molar conductivities at infinite dilution for Na₂SO₄, K₂SO₄, KCl, HCl, and HCOONa at 300 K are 260, 308, 150, 426, and 105 S·cm²·mol⁻¹, respectively. What will be the molar conductivity at infinite dilution (Λ⁰) for formic acid in the same unit?
- SRMJEEE - 2025
- Mole concept and Molar Masses
View More Questions