AP EAMCET · Maths · Straight Lines
The point \(P(4,1)\) undergoes the following transformations in succession :
(i) origin is shifted to the point \((1,6)\) by translation of axes
(ii) translation through a distance of 2 units along the positive direction of X -axis
(iii) rotation of axes through an angle of \(90^{\circ}\) in the positive direction
Then the coordinates of the point \(P\) in its final position are
- A \((3,4)\)
- B \((4,3)\)
- C \((-5,-5)\)
- D \((1,0)\)
Answer & Solution
Correct Answer
(C) \((-5,-5)\)
Step-by-step Solution
Detailed explanation
\(P=(4,1)\) (i) Origin shifted to \( (1,6) \): \(x_1 = 4-1 = 3\), \(y_1 = 1-6 = -5\). New point \( (3,-5) \). (ii) Translate 2 units along +X-axis: \(x_2 = 3+2 = 5\), \(y_2 = -5\). New point \( (5,-5) \). (iii) Rotate axes by \( 90^{\circ} \):…
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