${ }^{36} C_{34}=?$
- A610
- B630
- C1224
- D612
Question types
Model Paper 1 question types
45 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
45
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
18 Q→02Assertion (A) & Reason (B) MCQ
2 Q→032 Marks Questions
7 Q→043 Marks Question
9 Q→05Case study (4 Marks)
3 Q→065 Marks Questions
6 Q→Sample Questions
Model Paper 1 questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark the correct answer for $(2-3 i)(-3+4 i)=$ ?
- A(6 + 17i)
- B(-6 + 17i)
- C(6 - 15i)
- D(6 - 17i)
$\frac{1-\cos 2 x+\sin x}{\sin 2 x+\cos x}=?$
- Acosec x
- Bsec x
- Ccot x
- Dtan x
- A$\neq \phi$
- BB
- C$\phi$
- DA
- A− x > − 5
- Bnone of these
- C− x < 5
- Dx > − 5
Assertion $(A):$ The mean deviation about the mean for the data $4, 7, 8, 9, 10, 12, 13, 17$ is $3.$
Reason $(R):$ The mean deviation about the mean for the data $38, 70, 48, 40, 42, 55, 63, 46, 54, 44$ is $8.5.$
Reason $(R):$ The mean deviation about the mean for the data $38, 70, 48, 40, 42, 55, 63, 46, 54, 44$ is $8.5.$
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- ✓$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: C.
View full solution →Assertion $(A):$ The expansion of $(1+ x )^{ n }=n_{c_0}+n_{c_1} x+n_{c_2} x^2 \ldots+n_{c_n} x^n$.
Reason $(R):$ If $x=-1$, then the above expansion is zero.
Reason $(R):$ If $x=-1$, then the above expansion is zero.
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- ✓Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: B.
View full solution →Find the angles between the pairs of straight lines $x - 4y = 3$ and $6x - y = 11.$
View full solution →Two sets $A$ and $B$ are, such that $n(A \cup B)=21, n(A)=10, n(B)=15$, find $n(A \cap B)$ and $n(A-B)$.
View full solution →Find the vertex, focus, axis, directrix and latus$-$rectum of the following parabolas $4 x^2+y=0$.
View full solution →The focus of a parabolic mirror as shown in is at a distance of 5 cm from its vertex. If the mirror is 45 cm deep, find the distance AB
Differentiate $\frac{x}{\sin x}$ respect to $x .$
View full solution →There are $200$ individuals with a skin disorder, $120$ had been exposed to the chemical $C_1, 50$ to chemical $C_2$ and $30$ to both the chemicals $C _1$ and $C _2$. Find the number of individuals exposed to $(i)$ chemical $C _1$ but not chemical $C _2\ (ii)$ Chemical $C _2$ but not chemical $C _1\ (iii)$ Chemical $C _2$ or chemical $C _1$.
View full solution →Find the square root of $3 - 4i$
View full solution →Express the complex number $\left(-2-\frac{1}{3} i\right)^3$ in the form of $a+i b$.
View full solution →Find $(a+b)^4-(a-b)^4$. Hence, evaluate $(\sqrt{3}+\sqrt{2})^4-(\sqrt{3}-\sqrt{2})^4$
View full solution →Using binomial theorem, expand: $\left(\frac{2 x}{3}-\frac{3}{2 x}\right)^6$
View full solution →
Consider the data.
$i$. Find the mean deviation about median. $(1)$
$ii$. Find the Median. $(1)$
$iii$. Write the formula to calculate the Mean deviation about median? $(2)$
OR
Write the formula to calculate median? $(2)$
View full solution →| Class | Frequency |
| $0-10$ | $6$ |
| $10-20$ | $7$ |
| $20-30$ | $ 15$ |
| $30-40$ | $ 16$ |
| $40-50$ | $4$ |
| $50-60$ | $2$ |
$ii$. Find the Median. $(1)$
$iii$. Write the formula to calculate the Mean deviation about median? $(2)$
OR
Write the formula to calculate median? $(2)$
A farmer wishes to install $2$ handpumps in his field for watering.
The farmer moves in the field while watering in such a way that the sum of distances between the farmer and each handpump is always $26\ m$.
Also, the distance between the hand pumps is $10 \ m$.
$i.$ Name the curve traced by farmer and hence find the foci of curve. $(1)$
$ii$. Find the equation of curve traced by farmer. $(1)$
$iii$. Find the length of major axis, minor axis and eccentricity of curve along which farmer moves. $(2)$
OR
$iv$. Find the length of latus rectum. $(2)$
View full solution →The farmer moves in the field while watering in such a way that the sum of distances between the farmer and each handpump is always $26\ m$.
Also, the distance between the hand pumps is $10 \ m$.
$i.$ Name the curve traced by farmer and hence find the foci of curve. $(1)$
$ii$. Find the equation of curve traced by farmer. $(1)$
$iii$. Find the length of major axis, minor axis and eccentricity of curve along which farmer moves. $(2)$
OR
$iv$. Find the length of latus rectum. $(2)$
Prove that $\cos \frac{2 \pi}{15} \cdot \cos \frac{4 \pi}{15} \cdot \cos \frac{8 \pi}{15} \cdot \cos \frac{16 \pi}{15}=\frac{1}{16}$
View full solution →Prove that: $\sin 6^{\circ} \sin 42^{\circ} \sin 66^{\circ} \sin 78^{\circ}=\frac{1}{16}$.
View full solution →In an increasing $GP,$ the sum of the first and last terms is $66$, the product of the second and the last but one is $128$ and the sum of the terms is $126.$ How many terms are there in this $GP?$
View full solution →Differentiate $x^2 \sin x$ from first principle.
View full solution →Evaluate: $\lim _{x \rightarrow 2} \frac{x^3+3 x^2-9 x-2}{x^3-x-6}$
View full solution →Generate a Model Paper 1 paper free
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