Advertisements
Advertisements
`lim_(x -> 0) ((2 + x)^5 - 2)/((2 + x)^3 - 2)` = ______.
Concept: undefined >> undefined
The general solution of cosec x = `-sqrt2` is ______
Concept: undefined >> undefined
Advertisements
The tangent to the curve y = 2e3x at the point (0, 2) meets the X-axis at ______.
Concept: undefined >> undefined
If the tangent to y2 = 4ax at the point (at2, 2at), where | t | > 1 is a normal to x2 – y2 = a2 at the point (a sec θ' a tan θ), then ______.
Concept: undefined >> undefined
The joint equation of pair of lines having slopes 2 and 5 and passing through the origin is ______.
Concept: undefined >> undefined
The equation 3sin2x + 10 cos x – 6 = 0 is satisfied, if ______.
Concept: undefined >> undefined
If x = p sin θ, y = q cos θ, then `dy/dx` = ______
Concept: undefined >> undefined
If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, f(x) = 9x4 + 12x3 - 36x2 + 25, x ∈ R, then ______
Concept: undefined >> undefined
`lim_(x -> 5) |x - 5|/(x - 5)` = ______.
Concept: undefined >> undefined
Determine the system of linear equation for which the solution set is the shaded region in the following figure ______.
Concept: undefined >> undefined
The combined equation of the lines which pass through the origin and each of which makes an angle of 30° with the line 3x + 2y – 11 = 0 is ______.
Concept: undefined >> undefined
The number of solutions of sin x + sin 3x + sin 5x = 0 in the interval `[pi/2, (3pi)/2]` is ______.
Concept: undefined >> undefined
3. 9. 15. 21 ...... upto 50 factors is equal to ______.
Concept: undefined >> undefined
`lim_(x -> 0) (sin 4x + sin 2x)/(sin5x - sin3x)` = ______.
Concept: undefined >> undefined
Find out which of the following statements have the same meaning:
i. If Meena makes a software then she is happy.
ii. If Meena does not make a software then she is not happy.
iii. If Meena is not happy then she hasn't made a software.
iv. If Meena is happy then she has made a software.
Concept: undefined >> undefined
Solution set of the inequality y ≥ 0 is ______.
Concept: undefined >> undefined
The normal of the curve x = a(cos θ + θ sin θ) and y = a(sin θ – θ cos θ), at any point θ, is such that ______.
Concept: undefined >> undefined
If y = `(2sinα)/(1 + cosα + sinα)`, then value of `(1 - cos α + sin α)/(1 + sin α)` is ______.
Concept: undefined >> undefined
By using principle of mathematical induction for every natural number, (ab)n = ______.
Concept: undefined >> undefined
The set of real x satisfying the inequality `(5 - 2x)/3 ≤ x/6 - 5` is [a, ∞). The value of ‘a’ is ______.
Concept: undefined >> undefined
