05:10

If mcosec θ + ncot θ = 2 and m²cosec²θ - n²cot²θ = 5, then 81/m² - 1/n² is...| Doubtify JEE Main

03:48

The value of sin⁶u + cos⁶u - 1 / sin⁴u + cos⁴u - 1 (whereever defined) is...| Doubtify JEE Main

07:00

The general solution of sec θ + tan θ = √3 is:...| Doubtify JEE Main

05:31

The number of solution of the equation tan 3x - tan 2x - tan 3x.tan2x = 1 in...| Doubtify JEE Main

03:53

If 2 sec 2α = tan β + cot β, then (α + β) may be:...| Doubtify JEE Main

03:05

If √3 secθ + 2 = 0, then principal value of θ may be:...| Doubtify JEE Main

04:25

The solution of the equation cos²θ + sinθ + 1 = 0 lies in the interval:...| Doubtify JEE Main

04:30

If α + β = π/2 and β + γ = α, then tanα equals:...| Doubtify JEE Main

09:37

The value of tan 7½° is equal to:...| Doubtify JEE Main

04:06

The minimum value of 8(cos 2θ + cos θ) is equal to:...| Doubtify JEE Main

05:29

If 0 less than θ₂ less than θ₁ less than π/4, cos(θ₁ + θ₂) = 3/5 and cos(θ₁ -...| Doubtify JEE Main

05:46

If tan α = √3 + 1 / √3 - 1, then the expression cos 2α + (2 + √3)sin 2α is:...| Doubtify JEE Main

03:22

If sinα + sinβ = a and cosα - cosβ = b then, tan(α - β / 2) is equal to:...| Doubtify JEE Main

03:38

If tanθ = 1 - cosϕ / sinϕ, then tan 3θ is equal to:...| Doubtify JEE Main

04:16

If sinθ = -4/5 and θ lies in the III quadrant, then the value of cos (θ/2)...| Doubtify JEE Main

03:10

If tan²α = 1 - λ², then the value of sec α + tan³ α cosec α is:...| Doubtify JEE Main

03:50

The unique value of x satisfying the equation 4ˣ - 3ˣ ⁻ ¹/² = 3ˣ ⁺ ¹/² - 2²ˣ...| Doubtify JEE Main

07:31

If m = log₂₄₅ 175 and n = log₁₇₁₅ 875, then the value of m - n / 1 - mn is...| Doubtify JEE Main

07:01

If log₍ₓ ₊ ₃₎(x² - x) less than 1 is satisfied for x ∈ (a, b), then value of...| Doubtify JEE Main

05:37

The value of 81¹ / ˡᵒᵍ⁵ ³ + 27ˡᵒᵍ⁹ ³⁶ + 3⁴ / ˡᵒᵍ⁷ ⁹ is equal to:...| Doubtify JEE Main

03:01

Let f(x) = √x² + 2x + 1 - √x² - 2x + 1, then value of f(-5/4) + f(3/4) + f(7/4)..| Doubtify JEE Main

07:51

Number of solutions of inequation | 2ˣ - 1 | + | 4 - 2ˣ | less than 3 are...| Doubtify JEE Main

08:18

If 2ˣ¹ ⁺ ˣ² = 6ˣ² and 3ˣ¹ ⁻ ¹ = 2ˣ² ⁺ ¹, then the value of log3 - log2 / x₁ -...| Doubtify JEE Main

05:59

For all x greater than 13 the value of x satisfying the equation logₓ₋₁(x) ×...| Doubtify JEE Main

05:16

If u + log₄3 / u + log₂3 = u + log₈3 / u + log₄3 = V, then the value of V...| Doubtify JEE Main

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