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The spring force is given by F=-kx, where k is a constant and x is the deformation of spring. The F-x graph is:

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Important Questions on Basic Mathematics

MEDIUM
JEE Advanced
IMPORTANT
A particle starts moving with constant velocity v=2 m s-1, from position x=5 m. The position-time graph will be
MEDIUM
JEE Advanced
IMPORTANT

A parallelogram ABCD is shown in the figure.

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Column I Column II
i. Equation of side AB a. 2y+X=2
ii. Equation of side EC b. 2y-x=2
ill. Equation of side CD c. 2y+X=-2
iv. Equation of side DA d. 2y-x=-2

Correct matching is

MEDIUM
JEE Advanced
IMPORTANT
Plot a graph for the equation y=-x2+4x-1.
MEDIUM
JEE Advanced
IMPORTANT
Plot a graph for the equation y=x2-4x.
EASY
JEE Advanced
IMPORTANT
A particle starts with some initial velocity with an acceleration along the direction of motion. Draw a graph depicting the variation of velocity v along y-axis with the variation of displacement s along x-axis.
MEDIUM
JEE Advanced
IMPORTANT
Find the vertex of the following quadratic equations and plot the graph:
(a) y=x2-8x.
(b) y=-2x2+3.
(c) y=x2-6x+4.
MEDIUM
JEE Advanced
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If a particle starts moving along x-axis from the origin with initial velocity u=1 m s-1 and acceleration a=2 m s-2, the relationship between displacement and time is,
x=ut+12at2=1×t+12×2×t2=t+t2.
Draw the displacement(x)-time(t) graph.

MEDIUM
JEE Advanced
IMPORTANT
A body is attached to a spring whose other end is fixed. If the spring is elongated by x, its potential energy is U=5x2, where x is in metre and U is in joule. U-x graph is: