Consider the quadratic equation \( (c-5) x^{2}-2 c x+(c-4)=0, c \) ... VIDEO
Consider the quadratic equation \( (c-5) x^{2}-2 c x+(c-4)=0, c \) \( \neq 5 \). Let \( \mathrm{S} \) be the set of all integral values of \( \mathrm{c} \) for which
P one root of the equation lies in the interval \( (0,2) \) and its
W. other root lies in the interval \( (2,3) \). Then the number of elements in \( \mathrm{S} \) is :
[JEE Main -2019(January)]
(1) 18
(2) 12
(3) 10
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-14 The odds that a book will be favourably reviewed by three independe... 2023-02-14 Let \( P(x)=x^{2}+b x+c \) be a quadratic polynomial with real coef... 2023-02-14 Let \( X=\{1,2, \ldots ., 10\} \), if set \( A \) and \( B \) are f... 2023-02-14 A current carrying wire is placed in the grooves of an insulating s... 2023-02-14 If both \( \operatorname{Lim}_{x \rightarrow c^{-}} f(x) \) and \( \operatorname{Lim}_{x \righta... 2023-02-14 Pal's gardner is not dependable, the probability that he will forgo... 2023-02-14 A point charge is moving in a circle with constant speed. Consider ... 2023-02-14 In fructose, the possible optical isomers are (1) 12 (2) 8 (3) 16 (4) 4 \( \mathrm{P} \) W 2023-02-14 A small ball is projected along the surface of a smooth inclined plane with speed \( 10 \mathrm{... 2023-02-14 Release of phosphates and nitrates in water bodies (i.e., in rivers... 2023-02-14 Consider the quadratic equation \( (c-5) x^{2}-2 c x+(c-4)=0, c \) ... 2023-02-14 Presence of E.coli in water indicates
\( \mathrm{P} \)
(1) Water is... 2023-02-14 A chemical weed in troposphere and protectant in strotosphere is
\(... 2023-02-14 In throwing a pair of dice, the events 'coming up of 6 on Ist dice'... 2023-02-14 A dice is thrown twice and the sum of the numbers appearing is obse... 2023-02-14 Presence of E.coli in water indicates
\( \mathrm{P} \)
(1) Water is... 2023-02-14 Find the angular speed of earth so that a body lying at \( 30^{\cir... 2023-02-14 A particle is projected from the ground at an angle \( 30^{\circ} \) with the horizontal with an... 2023-02-14 A satellite is in a circular orbit very close to the surface of a p... 2023-02-14 At \( t=0 \), an arrow is fired vertically upwards with a speed of \( 100 \mathrm{~m} \mathrm{~s... 2023-02-14 Identify the correct definition of gravitational potential at a poi...