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VITEEE Mathematics Flashcards
59 question-and-answer cards covering Mathematics as it is examined in VITEEE. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the eccentricity of an ellipse, a parabola, and a hyperbola?
Ellipse: 0 < e < 1; parabola: e = 1; hyperbola: e > 1.
For the parabola y^2 = 4ax, what are the focus, directrix, and length of the latus rectum?
Focus = (a, 0); directrix x = -a; length of latus rectum = 4a.
For an ellipse x^2/a^2 + y^2/b^2 = 1 (a > b), what is the relationship between a, b, and eccentricity e?
b^2 = a^2(1 - e^2), so e = sqrt(1 - b^2/a^2).
What is the distance formula between two points (x1, y1, z1) and (x2, y2, z2) in 3D?
Distance = sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2).
What are direction cosines of a line, and what relation do they satisfy?
Direction cosines l, m, n are the cosines of the angles the line makes with the x, y, z axes; they satisfy l^2 + m^2 + n^2 = 1.
What is the equation of a plane in normal form, and what does it represent?
lx + my + nz = p, where (l, m, n) are direction cosines of the normal and p is the perpendicular distance from the origin to the plane.
State the definition of continuity of a function f at a point x = a.
f is continuous at a if the limit of f(x) as x approaches a equals f(a) (limit exists, f(a) defined, and they are equal).
What is the standard limit of (sin x)/x as x approaches 0?
It equals 1.
What is the relationship between differentiability and continuity of a function?
If a function is differentiable at a point, it is continuous there; but continuity does not imply differentiability.
State the product rule and quotient rule for differentiation.
Product: (uv)' = u'v + uv'; Quotient: (u/v)' = (u'v - uv')/v^2.
What is the derivative of f(x) used to find, and what condition gives a local maximum?
f'(x) gives the slope/rate of change; a local maximum occurs where f'(x) = 0 and f''(x) < 0.
State the fundamental integral of x^n (power rule) for n != -1.
Integral of x^n dx = x^(n+1)/(n+1) + C.
State the Fundamental Theorem of Calculus for evaluating a definite integral.
Integral from a to b of f(x) dx = F(b) - F(a), where F is an antiderivative of f.
What is the integration by parts formula?
Integral of u dv = uv - integral of v du.
What is the order and degree of a differential equation?
Order is the highest derivative present; degree is the power of the highest-order derivative (when the equation is polynomial in derivatives).
What is the standard form and integrating factor of a linear first-order differential equation?
Form: dy/dx + P(x)y = Q(x); integrating factor (IF) = e^(integral of P dx), and solution is y*(IF) = integral of Q*(IF) dx + C.
For a binomial distribution with n trials and success probability p, what are the mean and variance?
Mean = np; variance = npq, where q = 1 - p.
State Bayes' Theorem for events A and B.
P(A|B) = P(B|A) * P(A) / P(B), provided P(B) != 0.
What is the formula for variance in terms of the mean of squares and square of the mean?
Variance = E(X^2) - [E(X)]^2 (or mean of squares minus square of the mean).
In statistics, what is the relationship between mean, median, and mode for a moderately skewed distribution?
Mode = 3*Median - 2*Mean (the empirical relationship).
What is the range of the Karl Pearson correlation coefficient r, and what do its extreme values mean?
r lies between -1 and +1; r = +1 means perfect positive correlation, r = -1 perfect negative, and r = 0 no linear correlation.
What is the relationship between the correlation coefficient r and the two regression coefficients b_yx and b_xy?
r = sqrt(b_yx * b_xy), and r has the same sign as both regression coefficients.
In discrete mathematics, state De Morgan's Laws for sets.
(A union B)' = A' intersect B'; (A intersect B)' = A' union B'.
In Boolean/logic algebra, what is the truth value of a conditional p -> q, and when is it false?
p -> q is true except when p is true and q is false; it is false only in the case T -> F.
What this deck covers
The Mathematics deck follows the VITEEE Mathematics syllabus — 5 chapters and 18 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 11.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 79 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Mathematics flashcards FAQ
How many Mathematics flashcards are in this VITEEE deck?
59 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these VITEEE flashcards free?
Yes. The preview here is free to read with no signup, and the full 59-card deck is free inside the Examius app.
What do the Mathematics cards cover?
They follow the VITEEE Mathematics syllabus — 5 chapters and 18 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.