TS EAMCET · Maths · Vector Algebra
If \(x\) and \(y\) are real numbers such that, \(\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}},-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}, x \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\), \(\hat{\mathbf{i}}+y \hat{\mathbf{j}}-\hat{\mathbf{k}}\) are the position vectors of four coplanar points, then the locus of \(P(x, y)\) is
- A \(x^2+y^2+3 x+5 y=0\)
- B \((x+5)(y+3)=60\)
- C \((x+3)^2=5(y+5)\)
- D \((x+3)(y+5)=45\)
Answer & Solution
Correct Answer
(B) \((x+5)(y+3)=60\)
Step-by-step Solution
Detailed explanation
If four points are collinear, then…
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