The centroid of a triangle is (2, 7) and two of its vertices are (4, 8) and (-2, 6). The third vertex is
- A$(0,0)$
- B(4, 7)
- C(7, 7)
- D(7, 4)
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→022 Marks Questions
7 Q→033 Marks Question
9 Q→045 Marks Questions
6 Q→05Assertion (A) & Reason (B) MCQ
2 Q→06Case study (4 Marks)
3 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.
If $\sin \theta+\operatorname{cosec} \theta=2$, then $\sin ^2 \theta+\operatorname{cosec}^2 \theta$ is equal to
- A2
- B1
- C3
- D4
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
Write the domain of the real function $f(x)=\frac{1}{\sqrt{|x|-x}}$
View full solution →Find the angles between the pairs of straight lines x - 4y = 3 and 6x - y = 11.
Differentiate $\frac{x}{\sin x}$ respect to x .
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 →Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0, 4, 0) and C (6, 0, 0).
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 →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 →Find the square root of 3 - 4i
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?
Evaluate: $\lim _{x \rightarrow 2} \frac{x^3+3 x^2-9 x-2}{x^3-x-6}$
View full solution →Differentiate $x^2 \sin x$ from first principle.
View full solution →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.
- CA is true but R is false.
- DA is false but R is true.
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.
- BBoth A and R are true but R is not the correct explanation of A.
- CA is true but R is false.
- DA is false but R is true.
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)
| 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)
Generate a Model Paper 1 paper free
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