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Questions and Answers
What is the value of r in the polar coordinates of the point (3, 1)?
What is the value of r in the polar coordinates of the point (3, 1)?
In any triangle ABC, what is the condition for AB + BC > AC to be true?
In any triangle ABC, what is the condition for AB + BC > AC to be true?
What is the condition for a triangle ABC to be equilateral?
What is the condition for a triangle ABC to be equilateral?
What is the formula for the area of a triangle in terms of its sides?
What is the formula for the area of a triangle in terms of its sides?
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What is the condition for a quadrilateral ABCD to be a parallelogram?
What is the condition for a quadrilateral ABCD to be a parallelogram?
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What is the point where the x-axis and y-axis intersect called?
What is the point where the x-axis and y-axis intersect called?
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What are the coordinates of the origin in a rectangular Cartesian coordinate system?
What are the coordinates of the origin in a rectangular Cartesian coordinate system?
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What is the coordinate of the orthocentre of a triangle with vertices (0, 3), (–3, 0) and (3, 0)?
What is the coordinate of the orthocentre of a triangle with vertices (0, 3), (–3, 0) and (3, 0)?
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If the coordinates of a point P are (x, y), what is the value of x if the point lies on the y-axis?
If the coordinates of a point P are (x, y), what is the value of x if the point lies on the y-axis?
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If the centroid and circumcentre of a triangle are (3, 3) and (6, 2), what is the coordinate of the orthocentre?
If the centroid and circumcentre of a triangle are (3, 3) and (6, 2), what is the coordinate of the orthocentre?
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What is the formula to find the distance between two points P(x1, y1) and Q(x2, y2) in a rectangular Cartesian coordinate system?
What is the formula to find the distance between two points P(x1, y1) and Q(x2, y2) in a rectangular Cartesian coordinate system?
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What is the formula for the area of a triangle with vertices A(x1, y1), B(x2, y2) and C(x3, y3)?
What is the formula for the area of a triangle with vertices A(x1, y1), B(x2, y2) and C(x3, y3)?
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If the polar coordinates of a point P are (r, θ), what is the value of y in terms of r and θ?
If the polar coordinates of a point P are (r, θ), what is the value of y in terms of r and θ?
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What is the area of an equilateral triangle with side length 'a'?
What is the area of an equilateral triangle with side length 'a'?
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What is the formula for the area of a triangle with base 'b' and perpendicular height 'p'?
What is the formula for the area of a triangle with base 'b' and perpendicular height 'p'?
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What is the condition for the points (0, 8/3), (1, 3), and (82, 30) to be collinear?
What is the condition for the points (0, 8/3), (1, 3), and (82, 30) to be collinear?
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What is the effect of shifting the origin to a point (α, β) without rotation of axes?
What is the effect of shifting the origin to a point (α, β) without rotation of axes?
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What is the result of rotating the axes without changing the origin?
What is the result of rotating the axes without changing the origin?
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What is the relationship between the vertices A, B, and C if AB + BC = AC?
What is the relationship between the vertices A, B, and C if AB + BC = AC?
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What is the effect of shifting the origin on the equation of a curve?
What is the effect of shifting the origin on the equation of a curve?
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What is the condition for the points A, B, and C to form an equilateral triangle?
What is the condition for the points A, B, and C to form an equilateral triangle?
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What is the result of rotating the axes by 90 degrees without changing the origin?
What is the result of rotating the axes by 90 degrees without changing the origin?
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What is the relationship between the points A, B, and C if they are collinear?
What is the relationship between the points A, B, and C if they are collinear?
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What is the effect of shifting the origin on the coordinates of a point?
What is the effect of shifting the origin on the coordinates of a point?
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What is the property of the points A, B, and C if they form a right-angled triangle?
What is the property of the points A, B, and C if they form a right-angled triangle?
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If the centroid of a triangle ABC divides its median in the ratio k : 1, then what is the value of k?
If the centroid of a triangle ABC divides its median in the ratio k : 1, then what is the value of k?
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A line divides two points (2, -3) and (-5, 6) in the ratio 2:3 internally. What is the coordinate of the point of division?
A line divides two points (2, -3) and (-5, 6) in the ratio 2:3 internally. What is the coordinate of the point of division?
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If the vertices of a triangle are A(x1, y1), B(x2, y2), and C(x3, y3), then what are the coordinates of its centroid?
If the vertices of a triangle are A(x1, y1), B(x2, y2), and C(x3, y3), then what are the coordinates of its centroid?
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A line divides two points (1, 1) and (5, 7) in the ratio 3:4 internally. What is the equation of the line?
A line divides two points (1, 1) and (5, 7) in the ratio 3:4 internally. What is the equation of the line?
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If the ratio in which a line divides two points (x1, y1) and (x2, y2) is k:1, then what is the coordinate of the point of division?
If the ratio in which a line divides two points (x1, y1) and (x2, y2) is k:1, then what is the coordinate of the point of division?
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