0000:00:00:00:00Start5Number 5ExplanationIf a function y=x2−7y = \sqrt{x^2 - 7}y=x2−7, then y=43x−73y = \frac{4}{3}x - \frac{7}{3}y=34x−37 is the equation of the tangent line at x=4x = 4x=4. The curve is a circle centered at (0,0)(0, 0)(0,0). The line y=−34x+6y = -\frac{3}{4}x + 6y=−43x+6 intersects perpendicularly the tangent line at x=4x = 4x=4. y=43x−253y = \frac{4}{3}x - \frac{25}{3}y=34x−325 is the tangent line of the curve at (4,−3)(4, -3)(4,−3). ONLY (1), (2), (3) are trueONLY (1) and (3) are trueONLY (2) and (4) are trueONLY (4) is trueALL statements are true
5Number 5ExplanationIf a function y=x2−7y = \sqrt{x^2 - 7}y=x2−7, then y=43x−73y = \frac{4}{3}x - \frac{7}{3}y=34x−37 is the equation of the tangent line at x=4x = 4x=4. The curve is a circle centered at (0,0)(0, 0)(0,0). The line y=−34x+6y = -\frac{3}{4}x + 6y=−43x+6 intersects perpendicularly the tangent line at x=4x = 4x=4. y=43x−253y = \frac{4}{3}x - \frac{25}{3}y=34x−325 is the tangent line of the curve at (4,−3)(4, -3)(4,−3). ONLY (1), (2), (3) are trueONLY (1) and (3) are trueONLY (2) and (4) are trueONLY (4) is trueALL statements are true
