# Chapter 6: Two Dimensional Analytical Geometry - Online Test

Q1. The equation of the locus of the point whose distance from y-axis is half the distance from origin is
Answer : Option D
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Q2. Which of the following equation is the locus of (at2, 2at)
Answer : Option D
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Q3. Which of the following point lie on the locus of 3x2 + 3y2 - 8x - 12y + 17 = 0
Answer : Option C
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Q4. If the point (8,-5) lies on the locus x2/16 - y2/25 = k, then the value of k is
Answer : Option D
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Q5. Straight line joining the points (2, 3) and (-1, 4) passes through the point (α,β) if
Answer : Option C
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Q6. The slope of the line which makes an angle 45̊ with the line 3x - y = -5 are
Answer : Option B
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Q7. Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2√2 is
Answer : Option B
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Q8. The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2), (1,2) and (2,4) taken in order.The equation of the line passing through the vertex (-1,2) and dividing the quadrilateral in the equal areas is
Answer : Option D
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Q9. The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3,4) with coordinate axes are
Answer : Option B
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Q10. The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is
Answer : Option C
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