Continuity Testing Guide

Q) Determine a and b if f(x) is a continuous function, where 𝑓(𝑥)={(2, ≤3 𝑎𝑥+𝑏, 3=𝑥=5 5, 𝑥≥5) 🔥 Continuity Class 12 One Shot | CBSE PYQs 2026 | Most Important Questions | Lec 1 | Boards 2026 1. Continuity CBSE PYQs 2026 | Class 12 Maths | Lec 1 | Board Exam Preparation 2. CBSE Class 12 Continuity PYQs | 2026 Boards ...

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$Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i$

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Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i

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$If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘$

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If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘

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Q) Show that the function 𝑓(𝑥)={(cos𝑥/(−𝑥+𝜋/2), 𝑥≠𝜋/2 1, 𝑥=𝜋/2 is continuous at x=𝜋/2.

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$Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i$

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Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i

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$If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘$

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If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘

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Q) Show that the function 𝑓(𝑥)={(cos𝑥/(−𝑥+𝜋/2), 𝑥≠𝜋/2 1, 𝑥=𝜋/2 is continuous at x=𝜋/2.

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$Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟$

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Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟

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$Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t$

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Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

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Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

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For what value of k, the function given below is continuous at x = 0? 𝐟(𝐱)={((√(𝟒+𝐱)−𝟐)/𝐱,

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Q) If tan^(−1) 𝑥=𝑦, then 𝑑𝑦/𝑑𝑥 is equal to #continuity_and_differentiability #maths #cbse

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If 𝑥√(1+y)+y√(1+𝑥)=0,, then prove that dy/dx=(−1)/((1+x)^2 ) )#maths #cbse2026

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Q) If e^(𝑥+y)=3𝑥, then dy/d𝑥 is #maths #differentiation #cbse2026 #cbse2027

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Q) Find dy/dx, if y=tan^(−1) ((1+sinx)/cosx) #cbseclass12 #cbse2026 #maths # #mathsschool

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Q) If 𝑥+y=𝑥y, then dy/d𝑥 is #maths #shivangmathsacademy #cbsemaths #cbseresult #cbsenotes

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Q) If e^y (x+1)=1, prove that dy/dx=−e^y #cbseclass12 #cbse2027 #maths # #cbsenotes

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Q) If 𝑥=cos t,y=cos mt, prove that (1−𝑥^2 )(d^2 y)/(d𝑥^2 )−𝑥 dy/d𝑥+m^2 y=0 #mathshorts #maths

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Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)

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Q) Find whether the function 𝑓(𝑥)={(𝑥−1, 𝑥=2 2𝑥−3, 𝑥≥2) at 𝑥=2 is differentiable or not.

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Q) The value of 𝑘 for which the function 𝑓(𝑥)={(𝑥^2 sin 1/𝑥, 𝑥≠0 𝑘(𝑥+1), 𝑥=0) is a continuo

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