# Chapter 6: Two Dimensional Analytical Geometry - Online Test

Q1. A line perpendicular to the line 5x - y = 0 forms a triangle with the coordinate axes. If the area of the triangle is 5 sq. units, then its equation is
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Q2. Equation of the straight line perpendicular to the linex-y+5 = 0, through the point of intersection the y-axis and the given line
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Q3. If the equation of the base opposite to the vertex (2, 3) of an equilateral triangle is x + y = 2, then the length of a side is
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Q4. The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point
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Q5. The point on the line 2x - 3y = 5 is equidistance from (1,2) and (3, 4) is
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Q6. The image of the point (2, 3) in the line y = -x is
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Q7. The length of ┴ from the origin to the line x/3 – y/4 = 1, is
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Q8. The y-intercept of the straight line passing through (1,3) and perpendicular to 2x - 3y + 1 = 0 is
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Q9. If the two straight lines x + (2k - 7)y + 3 = 0 and 3kx + 9y - 5 = 0 are perpendicular then the value of k is
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Q10. If a vertex of a square is at the origin and its one side lies along the line 4x + 3y - 20 = 0, then the area of the square is
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