Are Mathematics Mock Test - 3 Planes questions free?

Yes, all questions including answers and detailed explanations are 100% free on ExamTest.live.

Planes Mathematics Questions — 8+ MCQs & PYQs | ExamTest.live

ExamTest.live has 8 Planes questions from Mathematics Mock Test - 3, covering years 2026–2026.

Filter:

Q1hardmcqMathematicsMathematics Mock Test - 102026

0% accuracy

The equation of a plane passing through the line of intersection of the planes x + 2 y + 3 z = 2 and x - y + z = 3 and at a distance \frac{2}{3} from the point (3, 1, - 1) is a x + b y + cz - 17 = 0 . The value of a + b + c - 17 is:

Q2mediummcqMathematicsMathematics Mock Test - 52026

50% accuracy

Find the image of the point (- 2, 1, 1) in the plane x + y + z = 0 .

Q3mediummcqMathematicsMathematics Mock Test - 42026

100% accuracy

The plane 2 x - 3 y + 6 z - 11 = 0 makes an angle sin^{- 1} (α) with the X-axis. The value of α is equal to:

Q4mediummcqMathematicsMathematics Mock Test - 32026

What is the cosine of the angle between the planes x + y + z + 1 = 0 and 2 x - 2 y + 2 z + 1 = 0 ?

Q5mediummcqMathematicsMathematics Mock Test - 82026

Determine the vector equation of the plane passing through the intersection of the planes r \cdot (\hat{i} + \hat{j} + \hat{k}) = 6 and r \cdot (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) = - 5, and through the point (1, 1, 1) ?

Q6mediummcqMathematicsMathematics Mock Test - 82026

If from a point P (a, b, c), perpendiculars P A and PB are drawn to the yz and z x planes respectively, then the equation of the plane O A B (where O is the origin) is:

Q7mediummcqMathematicsMathematics Mock Test - 82026

If the plane 2 x - y + z = 0 is parallel to the line \frac{2 x - 1}{2} = \frac{2 - y}{2} = \frac{z + 1}{a}, then the value of a is:

Q8mediummcqMathematicsMathematics Mock Test - 112026

Let P be the plane passing through the intersection of planes P_{1} : x + y + z - 6 = 0 and P_{2} : 2 x + 3 y + 4 z + 5 = 0 . If the plane P contains the origin, then the equation of the plane P is:

How many Planes questions come in Mathematics Mock Test - 3?▼

Our database has 8 Planes questions from Mathematics Mock Test - 3 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 3 Planes questions?▼

The 8 Mathematics Mock Test - 3 Planes questions include 0 easy, 7 medium and 1 hard level questions.

Where can I find more Planes questions for other exams?▼

Visit /tag/planes to see all Planes questions across all exams including Mathematics Mock Test - 8, Mathematics Mock Test - 11, JEE Main.