VITEEE PYQs for Straight lines with Solutions: Practice VITEEE Previous Year Questions

Updated 3+ months ago

Straight lines 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 Straight lines with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Straight lines questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.

VITEEE PYQs for Straight lines with Solutions

1.
The pairs of straight lines $x^{2}-3xy+2y^{2}=0 $ and $x^{2}-3xy+2y^{2}+x-2=0$ form a
- square but not rhombus
- rhombus
- parallelogram
- rectangle but not a square
View Solution
2.
The area (in square unit) of the circle which touches the lines $4 x+3 y=15$ and $4 x+3 y=5$ is
- $4\pi$
- $3\pi$
- $2\pi$
- $\pi$
View Solution
3.
A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3) $ and $C (-1, 1, 2)$. Then the angle between the faces $OAB$ and $ABC$ will be
- $120^{\circ}$
- $\cos^{-1} \left( \frac{17}{31}\right)$
- $30^{\circ}$
- $90^{\circ}$
View Solution
4.
The area (in square unit) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^{2}-3xy=2y^{2}=0$ is
- $\frac{7}{12}$
- $\frac{5}{12}$
- $\frac{1}{12}$
- $\frac{1}{6}$
View Solution
5.
A straight line parallel to the line 2x - y + 5 = 0 is also a tangent to the curve $y^{2}=4x+5.$ Then the point of contact is
- (2,1)
- (-1,1)
- (1,3)
- (3,4)
View Solution
6.
The maximum area of a right-angled triangle with hypotenuse $ h $ is: (a) $ \frac{h^2}{2\sqrt{2}} $
- $\frac{h^2}{2{\sqrt{2}}}$
- $ \frac{h^2}{2} $
- $ \frac{h^2}{\sqrt{2}} $
- $ \frac{h^2}{4} $
View Solution

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VITEEE PYQs for Straight lines with Solutions

1.The pairs of straight lines $x^{2}-3xy+2y^{2}=0 $ and $x^{2}-3xy+2y^{2}+x-2=0$ form a

2.The area (in square unit) of the circle which touches the lines $4 x+3 y=15$ and $4 x+3 y=5$ is

3.A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3) $ and $C (-1, 1, 2)$. Then the angle between the faces $OAB$ and $ABC$ will be

4.The area (in square unit) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^{2}-3xy=2y^{2}=0$ is

5.A straight line parallel to the line 2x - y + 5 = 0 is also a tangent to the curve $y^{2}=4x+5.$ Then the point of contact is

6.The maximum area of a right-angled triangle with hypotenuse \( h \) is: (a) \( \frac{h^2}{2\sqrt{2}} \)

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1.
The pairs of straight lines $x^{2}-3xy+2y^{2}=0 $ and $x^{2}-3xy+2y^{2}+x-2=0$ form a

2.
The area (in square unit) of the circle which touches the lines $4 x+3 y=15$ and $4 x+3 y=5$ is

3.
A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3) $ and $C (-1, 1, 2)$. Then the angle between the faces $OAB$ and $ABC$ will be

4.
The area (in square unit) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^{2}-3xy=2y^{2}=0$ is

5.
A straight line parallel to the line 2x - y + 5 = 0 is also a tangent to the curve $y^{2}=4x+5.$ Then the point of contact is

6.
The maximum area of a right-angled triangle with hypotenuse \( h \) is: (a) \( \frac{h^2}{2\sqrt{2}} \)