Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2022 · 28 Jul · Shift 2 · Q24
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2022 · 28 Jul · Shift 2 · Q24

Functions question

2022 · 28 Jul · Shift 2 · Q24

JEE MainMathematicsFunctionsMCQ+4 / −1
 Let f(x)=ax2+bx+c be such that f(1)=3,f(−2)=λ and \text { Let } f(x)=a x^{2}+b x+c \text { be such that } f(1)=3, f(-2)=\lambda \text { and } Let f(x)=ax2+bx+c be such that f(1)=3,f(−2)=λ and  f(3)=4f(3)=4f(3)=4. If f(0)+f(1)+f(−2)+f(3)=14f(0)+f(1)+f(-2)+f(3)=14f(0)+f(1)+f(−2)+f(3)=14, then λ\lambdaλ is equal to :
  1. A
    −-− 4
  2. B
    132\frac{13}{2}213​
  3. C
    232\frac{23}{2}223​
  4. D
    4
PreviousNext

More from Functions

  • Let a function f : N → N be defined by f(n)=​2n,n−1,2n+1​,​n=2,4,6,8,......n=3,7,11,15,......n=1,5,9,13,......​ then, f is2022 · MCQ
  • Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S × S → S : f is onto and f (a, b) = f (b, a) ≥ a ∀(a, b) ∈ S × S } is ​.2022 · Numerical
  • Let c, k ∈ R. If f(x)=(c+1)x2+(1−c2)x+2k and f(x+y)=f(x)+f(y)−xy, for all x, y ∈ R, then the value of ∣2(f(1)+f(2)+f(3)+......+f(20))∣ is equal to ​.2022 · Numerical
  • Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8x2−2x and g(f(x))=4x2+6x+1, then the value of f(2)+g(2) is ​.2022 · Numerical
  • The range of the function, f(x)=log5​​(3+cos(43π​+x)+cos(4π​+x)+cos(4π​−x)−cos(43π​−x))…2021 · MCQ
  • The range of a ∈ R for which the function f(x) = (4a − 3)(x + loge 5) + 2(a − 7) cot (2x​) sin2 (2x​), x e 2n π, n ∈ N has critical points, is :2021 · MCQ
  • The inverse of y=5logx is :2021 · MCQ
  • The real valued function f(x)=x−[x]​cosec−1x​, where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :2021 · MCQ