Assertion : A point on the straight line 2x + 3y – 4z = 5, 3x – 2y + 4z = 7 can be…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
Assertion : A point on the straight line 2x + 3y – 4z = 5,
3x – 2y + 4z = 7 can be determined by taking x = k and then Explanation:ing the two equations for y and z, where k is any real number except 12/5 .
Reason : If c’ ≠ kc, then the straight line
ax + by + cz + d = 0, kax + kby + c’z + d’ = 0, does not intersect the plane z = α, where α is any real number except \(\frac{\mathrm{d}^{\prime}-\mathrm{kd}}{\mathrm{kc}-\mathrm{c}^{\prime}}\).
3x – 2y + 4z = 7 can be determined by taking x = k and then Explanation:ing the two equations for y and z, where k is any real number except 12/5 .
Reason : If c’ ≠ kc, then the straight line
ax + by + cz + d = 0, kax + kby + c’z + d’ = 0, does not intersect the plane z = α, where α is any real number except \(\frac{\mathrm{d}^{\prime}-\mathrm{kd}}{\mathrm{kc}-\mathrm{c}^{\prime}}\).
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but and reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
- If assertion and reason are both false.
Answer
(D) If assertion is false but reason is true.
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