VITEEE PYQs for Graphical Method of Analysis with Solutions: Practice VITEEE Previous Year Questions

Updated 3+ months ago

Graphical Method of Analysis is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.

This article gives you a full set of VITEEE PYQs for Graphical Method of Analysis with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Graphical Method of Analysis questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.

VITEEE PYQs for Graphical Method of Analysis with Solutions

1.
The point diametrically opposite to the point $ P(1, 0) $ { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]
- $ (3, -4) $
- $ (-3, 4) $
- $ (-3, -4) $
- $ (3, 4) $
View Solution
2.
An accurate clock shows 8 O'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 20:00 (8 O'clock in the evening)?
- 144°
- 150°
- 168°
- 180°
View Solution
3.
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:
- $ -3 \leq x \leq 3 $
- $ -3<x<3 $
- $ -9 \leq x \leq 9 $
- $ -9<x<9 $
View Solution
4.
The mean and variance of a random variable $ X $ having binomial distribution are 4 and 2, respectively. Find $ P(X = 1) $.
- $ \frac{1}{4} $
- $ \frac{1}{32} $
- $ \frac{1}{16} $
- $ \frac{1}{8} $
View Solution
5.
The eccentricity of the curve $ 2x^2 + y^2 - 8x - 2y + 1 = 0 $ is:
- $ \frac{1}{2} $
- $ \frac{1}{\sqrt{2}} $
- $ \frac{2}{3} $
- $ \frac{3}{4} $
View Solution
6.
The shortest distance between the lines $ x = y + 2 = 6z - 6 $ and $ x + 1 = 2y = -12z $ is:
- $ \frac{1}{2} $
- 2
- 1
- $ \frac{3}{2} $
View Solution
7.
The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$
- $ 33x - 13y + 32z + 45 = 0 $
- $ x - 3y + z - 5 = 0 $
- $ 33x + 13y + 32z + 45 = 0 $
- None of these
View Solution
8.
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at $ x = 2 $ and $ x = 4 $, then the values of $ a $ and $ b $ are:
- $ a = 3, b = -5 $
- $ a = -5, b = 3 $
- $ a = -3, b = 5 $
- $ a = 5, b = -3 $
View Solution
9.
The modulus of $ (1 + i\sqrt{3})(2 + 2i) $ / $ (\sqrt{3} - i) $ is:
- 2
- 4
- $ 3\sqrt{2} $
- $ 2\sqrt{2} $
View Solution

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VITEEE PYQs for Graphical Method of Analysis with Solutions: Practice VITEEE Previous Year Questions

VITEEE PYQs for Graphical Method of Analysis with Solutions

1.
The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]

2.
An accurate clock shows 8 O'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 20:00 (8 O'clock in the evening)?

3.
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:

4.
The mean and variance of a random variable \( X \) having binomial distribution are 4 and 2, respectively. Find \( P(X = 1) \).

5.
The eccentricity of the curve $ 2x^2 + y^2 - 8x - 2y + 1 = 0 $ is:

6.
The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is:

7.
The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$

8.
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:

9.
The modulus of \( (1 + i\sqrt{3})(2 + 2i) \) / \( (\sqrt{3} - i) \) is:

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VITEEE PYQs for Graphical Method of Analysis with Solutions

1.The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]

2.An accurate clock shows 8 O'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 20:00 (8 O'clock in the evening)?

3.The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:

4.The mean and variance of a random variable \( X \) having binomial distribution are 4 and 2, respectively. Find \( P(X = 1) \).

5.The eccentricity of the curve $ 2x^2 + y^2 - 8x - 2y + 1 = 0 $ is:

6.The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is:

7.The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$

8. If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:

9.The modulus of \( (1 + i\sqrt{3})(2 + 2i) \) / \( (\sqrt{3} - i) \) is:

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1.
The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]

2.
An accurate clock shows 8 O'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 20:00 (8 O'clock in the evening)?

3.
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:

4.
The mean and variance of a random variable \( X \) having binomial distribution are 4 and 2, respectively. Find \( P(X = 1) \).

5.
The eccentricity of the curve $ 2x^2 + y^2 - 8x - 2y + 1 = 0 $ is:

6.
The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is:

7.
The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$

8.
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:

9.
The modulus of \( (1 + i\sqrt{3})(2 + 2i) \) / \( (\sqrt{3} - i) \) is: