05:26

If f(x) = log(1 + x / 1 - x), then f(3x + x³ / 1 + 3x²) is equal to:...| Doubtify JEE Main

07:51

If [ ] and { } represents the greatest integer function and fractional function..| Doubtify JEE Main

08:10

If |x + 4| + |x - 4| = 2|x| and |x + 1| + |5 - x| = 6, then x belongs to:...| Doubtify JEE Main

05:51

The number of elements in the set [A = (a b 0 d): a, b, d ∈ {-1, 0, 1} and...| Doubtify JEE Main

02:09

What is the magnitude of the scalar product of the following vectors?a = î +...| Doubtify JEE Main

02:52

The magnitude of the sum of two vectors is equal to the difference in their...| Doubtify JEE Main

04:58

The vectors 2 î - ĵ + k̂, î - 3 ĵ - 5 k̂ and 3 î - 4 ĵ - 4 k̂ forms a/...| Doubtify JEE Main

06:56

For any two vectors ā and ƀ, which one of the following is NOT true?...| Doubtify JEE Main

02:46

Let O be the centre a regular hexagon ABCDEF. Then the magnitude of sum of the...| Doubtify JEE Main

06:53

The coordinates of the points on the circle x² + y² = 9, which are at a...| Doubtify JEE Main

09:11

If a circle of radius R passes through the origin O and intersects the...| Doubtify JEE Main

08:44

A circle is inscribed in an equilateral triangle of side a. The area of any...| Doubtify JEE Main

08:18

The equation of a circle is x² + y² = 4. The centre of the smallest circle...| Doubtify JEE Main

07:53

A small ball of density p₀ is released from rest from the surface of a liquid...| Doubtify JEE Main

06:24

Find the time period of oscillation of block of mass m. Spring and pulley are...| Doubtify JEE Main

04:46

If the equation x² – 3px + 2q = 0 and x² – 3ax + 2b = 0 have a common root and...| Doubtify JEE Main

06:13

If (ax² + c)y + (a’x² + c’) = 0 and x is a rational function of y and ac is...| Doubtify JEE Main

07:12

If a point R(4, y, z) lies on the line segment joining the points R(2, -3, 4)...| Doubtify JEE Main

04:59

If (x₁ – x₂)² + (y₁ – y₂)² = a², (x₂ – x₃)² + (y₂ – y₃)² = b², (x₃ – x₁)² +...| Doubtify JEE Main

04:46

The diagonals of a parallelogram PQRS are the along x + 3y = 4 & 6x – 2y = 7. Then...| Doubtify JEE

05:29

The vertices of a triangle are (1, 2), (2, 1) and {1/2 (3+√3),1/3 (3+√3)}. Its...| Doubtify JEE

04:11

An equation of a line through the point (1, 2) whose distance from the point (3, 1)...| Doubtify JEE

10:57

The front windscreen of a car is inclined at an angle 600 with the vertical...| Doubtify JEE

09:04

Find the time period of meeting of minute hand and second hand of a clock...| Doubtify JEE

07:46

A bead of mass m is attached to one end of a spring of natural length R and spring...| Doubtify JEE

09:04

A balloon is ascending vertically with an acceleration of 1 m/s². Two stones are...| Doubtify JEE

08:56

A 2 m wide truck is moving with a uniform speed v₀ = 8 m/s along a straight...| Doubtify JEE

08:36

A swimmer A who want to reach directly at point B on the other bank of the river...| Doubtify JEE

02:38

A radioactive sample S1 having an activity of 5 μCi has twice the number of nuclei...| Doubtify JEE

10:43

Let f : (-2, 2) → R be defined by f(x) = { (x⁡[x] ; -2 less than x greater than 0...| Doubtify JEE

07:46

If the tangent from a point P to the circle x² + y² = 1 is perpendicular to the...| Doubtify JEE

10:14

The straight line 2x – 3y = 1 divide the circular region x² + y² ≤ 6 into two parts...| Doubtify JEE

04:30

If x₁, x₂, …, xₙ are any real numbers and n is any positive integer, then: ...| Doubtify JEE

09:31

For a positive integer n, let a(n) = 1 + 1/2 + 1/3 + 1/4 + .... + 1/ (2ⁿ - 1), then...| Doubtify JEE

06:33

Let x, y be positive real numbers and m, n positive integers. The maximum value of...| Doubtify JEE

10:33

Let A₁, G₁, H₁ denote the arithmetic, geometric and harmonic means, respectively,...| Doubtify JEE

05:59

If x be the arithmetic mean and y, z be two geometric means between any two positive..| Doubtify JEE

07:41

If m is the AM of two distinct real numbers l and n (l, n is greater than l) and G₁...| Doubtify JEE

05:06

An element have an E.C. 1s² 2s²2p²3s²3p⁵, then to which group it belongs?...| Doubtify JEE

03:15

Symbol for the element with atomic number 114 is:...| Doubtify JEE

05:37

An element X belongs to group 14 and 2nd period of the periodic table. The atomic...| Doubtify JEE

04:52

The solution of differential equation cosx.siny dx + sinx.cosy dy = 0 is:...| Doubtify JEE

06:03

The general solution of differential equation dy/dx = eˣ²/² + xy is:...| Doubtify JEE

05:53

The general solution of differential equation (eˣ + 1)ydy = (y + 1)eˣdx is:...| Doubtify JEE

03:18

The differential equation ydy/dx + x = c represents:...| Doubtify JEE

05:06

The solution of differential equation dy / dx + 2xy / (1 + x²) = 1 / (1 + x²)² is:...| Doubtify JEE

02:43

The differential equation of family of curves x² + y² - 2ay = 0, where a is an...| Doubtify JEE

02:40

The general solution of dy/dx = 2xeˣ²⁻ʸ is:...| Doubtify JEE

03:23

The solution of the equation (2y - 1)dx - (2x + 3)dy = 0 is:...| Doubtify JEE

03:31

Let f(x) = secx.f'(x), f(0) = 1, then f(π/6) equal to:...| Doubtify JEE

04:13

The solution of differential equation dy/dx = cos(x - y):...| Doubtify JEE

04:27

ᵈʸ/dx = ⁽ˣʸ ⁺ ˣ⁾/₍ₓᵧ ₊ ₓ₎, then the solution of the differential equation is: ...| Doubtify JEE

04:04

The differential equation ydy + xdx = dx represents:...| Doubtify JEE

02:36

Integrating factor of x dy/dx - y = x⁴ - 3x is:...| Doubtify JEE

03:56

Solution of the differential equation tany.sec²xdx + tanx.sec²ydy = 0 is:...| Doubtify JEE

02:55

Integrating factor of the differential equation cosx dy/dx + y sinx = 1 is:...| Doubtify JEE

03:24

Solution of the differential equation xdy - ydx = 0 represents:...| Doubtify JEE

03:41

The solution of dy/dx + y = e⁻ˣ, y(0) = 0 is:...| Doubtify JEE

03:30

The order of differential equation of family of all concentric circles centered at...| Doubtify JEE

04:10

The differential equation of all parabolas with axis parallel to the axis of y is:...| Doubtify JEE