Question:
The reflection of the point (4,-13) in the line 5x+y+6=0 is
The reflection of the point (4,-13) in the line 5x+y+6=0 is
Show Hint
Reflection formula is faster than geometry.
Updated On: Mar 18, 2026
- (-1,-14)
- (3,4)
- (1,2)
- (-4,13)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Use reflection formula: (x',y')=(x-(2a(ax+by+c))/(a²+b²),y-(2b(ax+by+c))/(a²+b²))
Step 2: Substituting values gives (-1,-14).
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Mathematics
- Vector Algebra
- In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):
- BITSAT - 2025
- Mathematics
- Methods of Integration
- Evaluate the integral \( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
- The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
View More Questions
Top BITSAT Coordinate Geometry Questions
- In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The area of a triangle with vertices at points $ A(1,2) $, $ B(4,6) $, and $ C(k, 8) $ is 5. Find the value of $ k $.
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
View More Questions
Top BITSAT Questions
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Vector Algebra
- Rearrange the following parts to form a meaningful sentence:
P. technological advancement
Q. has led to
R. in many fields
S. a significant leap- BITSAT - 2025
- Sentence Arrangement
- In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
- BITSAT - 2025
- kinetic theory
- A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
- BITSAT - 2025
- Kinematics
- Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?
- BITSAT - 2025
- Mechanics
View More Questions