This can also be expressed as x 2 /25 + y 2 /16 = 1 Then find out PF 1 + PF 2 equals to what ? Therefore, the equation of common tangent will be y = x +2.Įxample: If P = (x, y), F 1 = (3, 0), F 2 = (-3, 0) and 16 x 2 + 25y 2 = 400, Now, because it contains equal roots, therefore: D = 0.
Tangent to the curve y 2 = 8x is y = mx + 2/m. Conic sections including straight lines, circles, ellipse, parabola and hyperbola and all these can be mastered with continuous practice of revision notes provided at Vedantu.Įxample: The mathematical equation of the common tangent to the curves y 2 = 8x and xy = -1 is…? Thus practising conic sections from your JEE main coordinate geometry revision notes will make it easy to deal with the topic. It is easy to achieve marks in this section of coordinate geometry IIT JEE as there are some standard questions that are being frequently asked from this section. Tangent: A straight line that touches the circle at a point.Ĭonic Section in JEE Main Mathematics Coordinate GeometryĪ conic section is actually a crucial component of coordinate geometry. Segment: The area inside a circle which is circumscribed by an arc and the chord. Sector: The area which is circumscribed by an arc and also the two radii of a circle. Radius: Length of a line segment from the centre of a circle to its edge.ĭiameter: Length of a line segment that passes across the centre with its endpoints lying on the circle.Ĭircumference: Length of the boundary/periphery or outer edge of the circle.Ĭhord: A straight line segment connecting any two points lying on the circumference of a circle.Īrc: A section of the circumference of a circle. In the coordinate geometry IIT JEE revision notes, you will also learn about circles and its various concepts. Sometimes these are also called the rectangular coordinates. The location of a point is given by an ordered pair in which the order is significant because the 1 st in the pair always stands for the x coordinate. The figure shown below depicts the coordinate axis. Together, they describe a single, special position on the plane. The first number tells us where it is located on the x-axis and the second number tells where it is on the y-axis.
The point where they meet or intersect each other is known as the origin.Ī point's position on the plane is provided by two numbers.
The horizontal line is considered as the x-axis whereas the vertical line is the y-axis. In Coordinate geometry, points are positioned on the coordinate plane. The Coordinate Plane in JEE Main Mathematics CoOrdinate Geometry Revision Notes In addition, they are actually a prerequisite to conic sections as well. These topics together can help you fetch good marks as maximum questions in the JEE appear from these topics. Coordinate geometry is one of those chapters which will help the student get those extra marks with little effort.Ĭoordinate geometry is subdivided into various sections like:Īll these topics hold great significance from examination perspective but the circle and the straight line are the most important. Proper understanding of the chapter and the concepts related to it will help the student etch good marks as the maximum number of questions comes from this section in mathematics. Coordinate geometry is important but most questions come from straight lines and circles. It is divided into Circle, Ellipse, Parabola, Hyperbole and Straight Lines. Coordinate geometry is an important chapter for the JEE exam.
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