JEE Main Coordinate Geometry — practice questions
31 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Coordinate Geometry in the app →For the standard rectangular hyperbola shown in the figure, $xy=c^2$, which statement is correct?
$ is tested against the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. Which condition correctly Which of the following is the slope form of a tangent to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$?For the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, which of the following is the equation of the tangent at The area of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ isThe ellipse shown in the figure has centre at the origin, major axis along the $x$-axis, and vertices at $(\pmFor the standard ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ with $a>b>0$, which statement is correct?A point lies outside, on, or inside the parabola $y^2=4ax$ according as the value of $y^2-4ax$ isThe angle a line makes with the positive x-axis is its:The inclination of a line is measured in the direction that is:A line lying along the x-axis has an inclination of:A vertical line has an inclination of how many degrees?The tangent of the inclination of a line is called its:The slope of a line is written with the letter:The slope of a line whose inclination is ninety degrees is:The slope of the x-axis itself works out to:The slope of the y-axis is:Two non-vertical parallel lines have slopes that are:If two lines have the same slope, the lines must be:Two lines are perpendicular when the product of their slopes is:The angle between two lines can be worked out from their:Three points lying on one straight line are said to be:Collinearity of three points can be tested using their:The inclination of a line lies between zero and how many degrees?A line parallel to the x-axis has a slope of:Another word used for the slope of a line is:The slope of a line through two points needs how many points?A line coinciding with the x-axis has an inclination of:Lines whose inclinations are equal must be:Slope is not defined for a line that is: