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Question

What is the reflection of the point (6, -1) in the line y = 2?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

(6, 5)

For reflection of a point \((x, y)\) in a horizontal line \(y = k\), the x-coordinate is unchanged and the y-coordinate becomes \(2k - y\).

With \((x, y) = (6, -1)\) and \(k = 2\):

\[y' = 2(2) - (-1) = 4 + 1 = 5\]

Therefore the reflection is (6, 5).

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Similar Questions

  1. The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:

  2. The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:

  3. For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?

  4. What is the equation of the line perpendicular to the line 2x + 3y = -6 and having Y-intercept 3?

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  6. The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a 2+ b 2- ab)/(a 2- b 2+ ab)?

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Important Questions from Co-ordinate Geometry

  1. The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:

  2. In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?

  3. The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:

  4. In which quadrant both abscissa and ordinate are negative?

  5. Find the slope of the line joining the points (3, -4) and (5, 2).

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