TS EAMCET · Maths · Circle
Assertion : The curves \(y^2=4 x\) and \(x^2=-2 y\) intersect at \((1,2)\) orthogonally. Reason : If the product of the slopes of the tangents drawn to two curves at their point of intersection is -1 , then the curves are said to cut each other orthogonally. The correct option among the following is
- A (A) is true, (R) is true and (R) is the correct explanation for (A)
- B (A) is true, (R) is true but (R) is not the correct explanation for (A)
- C (A) is true but (R) is false
- D (A) is false but (R) is true
Answer & Solution
Correct Answer
(D) (A) is false but (R) is true
Step-by-step Solution
Detailed explanation
Given curves are \(\mathrm{y}^2=4 \mathrm{x}\) and \(\mathrm{x}^2=-2 \mathrm{y}\) intersect at \((1,2)\) orthogonally, for this slopes of \(c^1=y^2-x=0\) and \(\mathrm{C}_2=\mathrm{x}^2+2 \mathrm{y}=0\) have slopes \(\mathrm{M}_{\mathrm{c}_1}\) and \(\mathrm{M}_{\mathrm{C}_2}\)…
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