ECAT Pakistan · Mathematics
Coordinate Geometry, Conics and Vectors
9 practice questions, each with the answer and an explanation.
Practise Coordinate Geometry, Conics and Vectors now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 9 questions
- What is the perpendicular distance from the point P(2, -3) to the straight line 3x - 4y + 7 = 0?
- What is the eccentricity e of the ellipse given by the equation 9x^2 + 25y^2 = 225?
- If vectors a = 2i + 3j - k and b = i - 2j + 4k, what is the dot product a . b?
- What is the area of a parallelogram spanned by vectors a = 3i + j and b = i + 4j?
- What is the center and radius of the circle given by x^2 + y^2 - 6x + 8y - 11 = 0?
- What are the equations of the asymptotes of the hyperbola x^2 / 16 - y^2 / 9 = 1?
- Find the angle between two straight lines with slopes m1 = 2 and m2 = -3.
- What is the scalar triple product [a b c] of vectors a = i, b = j, and c = k?
- What is the focus of the parabola x^2 = -12y?
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