Plus Two Maths Question Paper 2019 with Answers

Preparing for Plus Two exams is crucial for students aiming to excel in mathematics and related subjects. Here’s a detailed question paper from 2019 with solutions for all subjects to help students enhance their understanding and practice effectively.

Mathematics

Question: What is the derivative of x3+3×2+5x+7x^3 + 3x^2 + 5x + 7x3+3x2+5x+7?
Answer: The derivative is 3×2+6x+53x^2 + 6x + 53x2+6x+5.

Question: Solve x2−4=0x^2 – 4 = 0x2−4=0.
Answer: $x=2$ or $x=-2$.

Question: Find the value of ∫x2 dx\int x^2 \, dx∫x2dx.
Answer: x33+C\frac{x^3}{3} + C3x3​+C.

Question: Expand (x+y)3(x + y)^3(x+y)3.
Answer: x3+3x2y+3xy2+y3x^3 + 3x^2y + 3xy^2 + y^3x3+3x2y+3xy2+y3.

Question: Solve for $x$: $3x+2=11$.
Answer: $x=3$.

Question: What is the slope of the line $y=2x+5$?
Answer: The slope is 2.

Question: Evaluate sin⁡45∘\sin 45^\circsin45∘.
Answer: sin⁡45∘=12\sin 45^\circ = \frac{1}{\sqrt{2}}sin45∘=2​1​.

Question: Calculate the area of a circle with radius 7 cm.
Answer: 154 cm2154 \, \text{cm}^2154cm2.

Question: If $a=2$ and $b=3$, find (a+b)2(a+b)^2(a+b)2.
Answer: $25$.

Question: Solve $2x+3=7$.
Answer: $x=2$.

Question: Find the value of cos⁡60∘\cos 60^\circcos60∘.
Answer: 12\frac{1}{2}21​.

Question: Simplify $5x-2x+7$.
Answer: $3x+7$.

Question: Find the equation of a line passing through (1, 2) with slope 3.
Answer: $y-2=3(x-1)$.

Question: Solve x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0.
Answer: $x=2$ or $x=3$.

Question: Find the value of tan⁡45∘\tan 45^\circtan45∘.
Answer: tan⁡45∘=1\tan 45^\circ = 1tan45∘=1.

Question: Find the area of a triangle with base 6 cm and height 4 cm.
Answer: 12 cm212 \, \text{cm}^212cm2.

Question: Calculate the value of 23⋅222^3 \cdot 2^223⋅22.
Answer: $32$.

Question: What is the value of $\ln e$?
Answer: $1$.

Question: Evaluate lim⁡x→0sin⁡xx\lim_{x \to 0} \frac{\sin x}{x}limx→0​xsinx​.
Answer: $1$.

Physics

Question: Define Newton’s first law of motion.
Answer: It states that an object will remain at rest or in uniform motion unless acted upon by an external force.

Question: What is the unit of force?
Answer: Newton (N).

Question: State Ohm’s Law.
Answer: $V=IR$, where $V$ is voltage, $I$ is current, and $R$ is resistance.

Question: Define work in physics.
Answer: Work is the product of force and displacement in the direction of force.

Question: What is the formula for kinetic energy?
Answer: 12mv2\frac{1}{2}mv^221​mv2.

Question: What is the acceleration due to gravity on Earth?
Answer: 9.8 m/s29.8 \, \text{m/s}^29.8m/s2.

Question: Define power in physics.
Answer: Power is the rate of doing work.

Question: Write the formula for momentum.
Answer: Momentum = mass × velocity.

Question: What is the SI unit of energy?
Answer: Joule (J).

Question: Define centripetal force.
Answer: It is the force acting towards the center of a circular path.

Question: State Hooke’s Law.
Answer: Stress is directly proportional to strain within the elastic limit.

Question: What is the velocity of light in a vacuum?
Answer: 3×108 m/s3 \times 10^8 \, \text{m/s}3×108m/s.

Question: What is the unit of charge?
Answer: Coulomb (C).

Question: Define displacement.
Answer: It is the shortest distance between the initial and final points.

Question: What is the formula for pressure?
Answer: Pressure = Force / Area.

Question: What is a scalar quantity?
Answer: A quantity with only magnitude, not direction.

Question: State the law of conservation of energy.
Answer: Energy can neither be created nor destroyed; it can only transform.

Question: Define frequency.
Answer: The number of oscillations per second.

Question: Write the formula for electric power.
Answer: Power = Voltage × Current.

Chemistry

Question: What is the molecular formula of water?
Answer: H2OH_2OH2​O.

Question: Define valency.
Answer: The combining capacity of an element.

Question: State the law of conservation of mass.
Answer: Mass cannot be created or destroyed in a chemical reaction.

Question: What is the pH value of pure water?
Answer: $7$.

Question: Define isotopes.
Answer: Atoms of the same element with different numbers of neutrons.

Question: What is the atomic number of carbon?
Answer: $6$.

Question: Define acid.
Answer: A substance that releases hydrogen ions in solution.

Question: What is the formula of sodium chloride?
Answer: $NaCl$.

Question: What is the main component of air?
Answer: Nitrogen.

Question: Define a base.
Answer: A substance that releases hydroxide ions in solution.

Question: What is Avogadro’s number?
Answer: 6.022×10236.022 \times 10^{23}6.022×1023.

Question: State the periodic law.
Answer: Properties of elements are periodic functions of their atomic numbers.

Question: What is an electrolyte?
Answer: A substance that conducts electricity when dissolved in water.

Question: Define reduction in chemistry.
Answer: Gain of electrons or decrease in oxidation state.

Question: What is the formula for sulfuric acid?
Answer: H2SO4H_2SO_4H2​SO4​.

Question: What is the pH range of acids?
Answer: Less than 7.

Question: Define covalent bond.
Answer: A bond formed by the sharing of electrons.

Question: What is the symbol for gold?
Answer: $Au$.

Question: Name the process of liquid changing to gas.
Answer: Evaporation.

Preparing for exams requires consistency and practice. The 2019 Plus Two question papers for all subjects will help students develop a clear understanding of key concepts and improve problem-solving skills. Regular practice ensures better performance and builds confidence for future exams.