tmua 2020 Q17

tmua · Uk · paper1 1 marks Discriminant and conditions for roots Intersection/tangency conditions between two curves

Find the complete set of values of $m$ in terms of $c$ such that the graphs of $y = mx + c$ and $y = \sqrt{x}$ have two points of intersection.
A $0 < m < \frac{1}{4c}$
B $0 < m < 4c^2$
C $m > \frac{1}{4c}$
D $m < \frac{1}{4c}$
E $m > 4c^2$
F $m < 4c^2$

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Find the complete set of values of $m$ in terms of $c$ such that the graphs of $y = mx + c$ and $y = \sqrt{x}$ have two points of intersection.

A $0 < m < \frac{1}{4c}$

B $0 < m < 4c^2$

C $m > \frac{1}{4c}$

D $m < \frac{1}{4c}$

E $m > 4c^2$

F $m < 4c^2$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20