Step 1: Understanding Hypertension.
Hypertension, or high blood pressure, is typically diagnosed when either the systolic or diastolic pressure exceeds certain thresholds. Systolic pressure refers to the pressure when the heart beats, and diastolic pressure refers to the pressure when the heart is at rest.
Step 2: Analyzing the options.
- (A) Systolic BP \(>\) 120 & Diastolic BP \(>\) 60 mmHg: This is not considered hypertension, as normal blood pressure is typically around 120/80 mmHg.
- (B) Systolic BP \(>\) 110 & Diastolic BP \(>\) 70 mmHg: This is within a normal or slightly elevated range, but it is not hypertension.
- (C) Systolic BP \(>\) 90 & Diastolic BP \(>\) 140 mmHg: This is incorrect, as diastolic pressure of 140 mmHg is extremely high and suggests a medical emergency, but the systolic pressure is lower than the accepted threshold.
- (D) Systolic BP \(>\) 140 & Diastolic BP \(>\) 90 mmHg: This is the correct answer. A blood pressure reading above 140/90 mmHg is typically classified as hypertension.
Step 3: Conclusion.
Therefore, the correct answer is (D) Systolic BP \(>\) 140 & Diastolic BP \(>\) 90 mmHg, as this is the threshold for diagnosing hypertension.
Final Answer: (D) Systolic BP \(>\) 140 & Diastolic BP \(>\) 90 mmHg.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).