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🇮🇳 NEET / State Class 12 Board (e.g. ISC) · flashcards
NEET / State Class 12 Board (e.g. ISC) Mathematics Flashcards
50 question-and-answer cards covering Mathematics as it is examined in NEET / State Class 12 Board (e.g. ISC). 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 derivative of sin inverse x?
1 / sqrt(1 - x squared), for |x| < 1.
What is the derivative of tan inverse x?
1 / (1 + x squared).
State the chain rule for differentiation.
If y = f(g(x)), then dy/dx = f'(g(x)) times g'(x).
State the product rule for differentiation.
d/dx (u v) = u times (dv/dx) + v times (du/dx).
State Rolle's Theorem.
If f is continuous on [a,b], differentiable on (a,b), and f(a) = f(b), then there exists c in (a,b) with f'(c) = 0.
State the Mean Value Theorem (Lagrange).
If f is continuous on [a,b] and differentiable on (a,b), there exists c in (a,b) with f'(c) = (f(b) - f(a)) / (b - a).
How do you determine where a function is increasing?
A function is increasing on an interval where its derivative f'(x) > 0 (and non-decreasing where f'(x) >= 0).
What is the second derivative test for a local maximum at x = c?
If f'(c) = 0 and f''(c) < 0, then f has a local maximum at c.
What is the integral of 1/x dx?
ln|x| + C.
What is the integral of sec squared x dx?
tan x + C.
State the formula for integration by parts.
Integral of u dv = u v minus integral of v du.
What is the integral of 1 / (1 + x squared) dx?
tan inverse x + C.
State the Fundamental Theorem of Calculus (evaluation form).
The definite integral of f from a to b equals F(b) - F(a), where F is an antiderivative of f.
What is the property: integral from a to b of f(x) dx in terms of f(a + b - x)?
Integral from a to b of f(x) dx = integral from a to b of f(a + b - x) dx.
When does the integral from -a to a of f(x) dx equal zero?
When f is an odd function, i.e. f(-x) = -f(x).
How is the area between a curve y = f(x) and the x-axis from a to b found?
Area = integral from a to b of |f(x)| dx.
What is the order of a differential equation?
The order of the highest derivative appearing in the equation.
What is the degree of a differential equation?
The power of the highest order derivative when the equation is polynomial in derivatives (free of radicals/fractions in them).
What is the integrating factor for the linear ODE dy/dx + P(x) y = Q(x)?
I.F. = e raised to the integral of P(x) dx.
What is the formula for the dot (scalar) product of vectors a and b?
a dot b = |a| |b| cos(theta), where theta is the angle between them.
What does the cross product magnitude |a x b| represent geometrically?
It equals |a| |b| sin(theta), the area of the parallelogram formed by a and b.
What is the direction-cosine identity for a line?
l squared + m squared + n squared = 1, where l, m, n are the direction cosines.
State the multiplication theorem of probability (conditional form).
P(A and B) = P(A) times P(B given A) = P(B) times P(A given B).
State Bayes' Theorem for events with prior P(E_i).
P(E_i given A) = [P(E_i) P(A given E_i)] divided by the sum over j of P(E_j) P(A given E_j).
What this deck covers
The Mathematics deck follows the NEET / State Class 12 Board (e.g. ISC) Mathematics syllabus — 4 chapters and 14 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 63 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 NEET / State Class 12 Board (e.g. ISC) deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these NEET / State Class 12 Board (e.g. ISC) flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Mathematics cards cover?
They follow the NEET / State Class 12 Board (e.g. ISC) Mathematics syllabus — 4 chapters and 14 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.