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NEET UG Coordinate Geometry — practice questions

28 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If the line $x - 1 = 0$ is the directrix of the parabola $y^2 - kx + 8 = 0$, then one of the values of $k$ isIf the diagonals of parallelogram are along the lines $3x - 4y + 2 = 0$ and $4x + 3y - 10 = 0$, then the paralThe eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance betThe sum of the focal distances from any point on the ellipse $9x^2 + 16y^2 = 144$ isIf a circle, whose centre is $(-1, 1)$ touches the straight line $x + 2y + 12 = 0$, then the coordinates of thConsider a family of circle which are passing through the point $(-1, 1)$ and are tangent to $x$-axis. If $(h,The distance of a point from the y-axis is called its:The distance of a point from the x-axis is called its:A point on the x-axis has coordinates of the form:The graph of ax + by + c = 0, with a and b not both zero, is a:Coordinate geometry was developed as an algebraic tool for studying:Which field is named as an application of coordinate geometry?A point that splits a line segment joining two points does so in a given:Town B is 36 km east of town A and how far north of it?The distance between the two towns is found using the theorem of:For A(4, 0) and B(6, 0) on the x-axis, the distance AB is:For two points not on the axes, the distance between them is found using:The point O(0, 0) is called the:In the relay tower problem, the tower's distance from B is ___ its distance from A.The relay tower P divides AB in the ratio:Taking A as origin and 1 km as one unit, B has coordinates:The tower's coordinates are found using the similarity criterion called:Solving the tower problem gives the position P equal to:The mid-point divides a line segment in the ratio:Finding all three side lengths and then using Heron's formula for area is described as:In deriving the area formula, the figures ABQP, APRC and BQRC are all:The area of a trapezium is half the sum of the parallel sides times the:If AB plus BC equals AC for three points A, B and C, the points are: