Content marketed & distributed by FaaDoOEngineers.com
COMPREHENSION
If f (x) = x2 -2 |x| then
COMPREHENSIONS
By:- Nishant Gupta
For any help contact:
9953168795, 9268789880
Prepare-se para as provas
Estude fácil! Tem muito documento disponível na Docsity
Ganhe pontos para baixar
Ganhe pontos ajudando outros esrudantes ou compre um plano Premium
Guias e Dicas
Prepare-se para as provas
Estude fácil! Tem muito documento disponível na Docsity
Encontrar documentos
Prepare-se para as provas com trabalhos de outros alunos como você, aqui na Docsity
Pesquisar documentos Store
Os melhores documentos à venda: Trabalhos de alunos formados
Videoaulas
Prepare-se com as videoaulas e exercícios resolvidos criados a partir da grade da sua Universidade
Quiz
Responda perguntas de provas passadas e avalie sua preparação.
Ganhe pontos para baixar
Ganhe pontos ajudando outros esrudantes ou compre um plano Premium
Comunidade
Pergunte à comunidade
Peça ajuda à comunidade e tire suas dúvidas relacionadas ao estudo
Ranking universidades
Descubra as melhores universidades em seu país de acordo com os usuários da Docsity
Guias grátis
Os eBooks que salvam estudantes!
Baixe gratuitamente nossos guias de estudo, métodos para diminuir a ansiedade, dicas de TCC preparadas pelos professores da Docsity
Lista revisão
Tipologia: Notas de estudo
2013
1 / 9
Esta página não é visível na pré-visualização
Não perca as partes importantes!
Documentos relacionados
Pré-visualização parcial do texto
Baixe Comprehension questions e outras Notas de estudo em PDF para Matemática, somente na Docsity!
COMPREHENSION
If f (x) = x
2 -2 |x| then
COMPREHENSIONS
By:- Nishant Gupta
For any help contact:
Nishant Gupta, D-122, Prashant vihar, Rohini, Delhi-
- 2,The graph of f (x) is
- 1, f (x) is continuous for
(a)R (b) R - {0} (c) R - {0,-2,2} (d) N/T
- 2, f (x) is differentiable for
(a)R (b) R - {0} (c) R - {0,-2,2} (d) N/T
COMPREHENSION
If the function f : R → R and g : R → R be defined as f(x) = e
x and g(x) = 3x ─ 2. Then answer of the following
questions:
- 3, The function gof is
(A) e
3x- (B) e
3x+
(C) 3e
x ─ 2 (D) 3e
x
- 2
- 3,Domain of (fog)
─ (x) is
(A) (-∞, ∞) (B) (─∞, 0)
(C) (0, ∞) (D) [1, 3]
- 4, Domain of (gof)
─ (x) is
(A) (─∞, 2] (B) [-2, 2]
(C)(─∞, ∞) (D)(-2, ∞)
COMPREHENSION
If x
2
- (m – 3)x + m = 0 is a quadratic equation ( m R) α and β are the roots of the equation. Then
- cThe value of ‘m’ for both the roots are real & different
(a) (1, 9) (b) (─∞, 1] [9, ∞)
(c) (─∞, 1) (9, ∞) (d) None of these
- aIf α < 2 and β > 2, then m lies in the interval
Nishant Gupta, D-122, Prashant vihar, Rohini, Delhi-
(c)
25 C 4 (d)
24 C 4
- aThe number of ways each receives odd number of things is
(a)
14 C 4 (b)
15 C 4
(c)
16 C 4 (d)
11 C 4
- dThe number of ways each receives at least one thing but not more than eleven is
(a)
14 C 4 (b)
24 C 4 – 5.
12 C 4
(c)
24 C 4 –
12 C 4 (d)
24 C 4 – 5.
13 C 4
COMPREHENSION
Conjugate diameters :- For any ellipse two diameters are said to be so if each bisects chords parallel to other.
These follow certain priperties
(a) For conjugate diameters with slopes m 1 ,m 2 m 1 m 2 = - b
2 /a
2
(b) Eccentric angles of these differ by / 2
(c) Sum of square of semi conjugate diameters. is a
2
- b
2
- 4, For 1 9
y
16
x
2 2
if y = 2x is one of the conjugate diameters then other is
(a) 9y = 32x (b) 9y = -32x
(c) 32y = 9x (d) N/T
- 2,If one end of a conjugate diameter of 1 9
y
16
x
2 2
is ( 2√3 , 3/2 ) then coordinates of one end of a
conjugate other diameter is
(a) ( 2, 3√3/2 ) (b) ( - 2, 3√3/2 )
(c) ( - 2√3 , 3/2 ) (d) N/T
- 3, If y = x & 3y = -2x are conjugate diameters then eccentricity is
(a) 2/3 (b) 1/
(c) 1/√3 (d) N/T
COMPREHENSION
A JEE aspirant estimates that he will be successful with an 80 % chances if he studies 10 hours per day , with an 60
% chances if he studies 7 hours per day & with an 40 % chances if he studies 4 hours per day. He further believes
that is if he studies 10 hours , 7 hours, 4 hours per day probabilities are 0.1 , 0.2 & 0.7 resp
- 3,The probability that she will be successful,
(a) 0.28 (b) 0.
(c) 0.48 (d) 0.
Nishant Gupta, D-122, Prashant vihar, Rohini, Delhi-
- 2,Given that she is successful, the probability she studied for 4 hours, is
(a) 1/2 (b) 7/
(c) 2/3 (d) 3/
- 4,Given that she does not achieve success, the probability she studied for 4 hours, is
(a) 18/26 (b) 19/
(c) 20/26 (d) 21/
COMPREHENSION
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
- 1,The probability that X = 3 equals
(a) 216
(b) 36
(c) 36
(d) 216
- 2,The probability that X ≥ 3 equals
(a) 216
(b) 36
(c) 36
(d) 216
- 4,The conditional probability that X ≥ 6 given > 3 equals
(a) 216
(b) 216
(c) 36
(d) 36
COMPREHENSION
Let A be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1
and four of them are 0.
- 1,The number of matrices in A is
(a) 12 (b) 6
(c) 9 (d) 3
- 2,The number of matrices A in A for which the system of linear equations
Nishant Gupta, D-122, Prashant vihar, Rohini, Delhi-
- 2,A function f: [0, ∞) → [0, ∞) defined as f(x) = 1 x
x
is
(A) one-one and onto (B) one-one but not onto
(C) onto but not one-one (D) neither one-one nor onto
COMPREHENSION
A=
, if U 1 , U2, U 3 are column matrices satisfying A U 1 =
, A U 2 =
& A U 3
, and U is 3 x 3 matrix when columns are U 1 , U2, U 3 ,then answer the following questions.
- 1,The value of |U| is
(a) 3 (b)-3 (c) 3/2 (d) 2
2, The sum of the elements of U
is
(a) -1 (b) 0 (c) 1 (d) 3
- 1, The value of [3 2 0] U
is
(a) 5 (b) 5/2 (c) 4 (d) 3/
COMPREHENSION
Let
1
1
1
1
1
1
c
z z
b
y y
a
x x
and 2
2
2
2
2
2
c
z z
b
y y
a
x x
be two lines. The shortest distance between these two
lines is the length of line segment which is perpendicular to these lines. If the shortest length is zero then they are
called intersecting lines.
Choose the correct answer:
- 4The shortest distance between the lines 4
z 6
1
y 8
3
x 3
and 4
z 6
2
y z
3
x 3
is
Nishant Gupta, D-122, Prashant vihar, Rohini, Delhi-
- 4The shortest distance between the lines 0
z 1
1
y 1
3
x 1
and 3
z 1
0
y
2
x 4
is
(3) 3 7 (4) None of these
- 3The values of k for which the lines k
z 4
1
y 3
x 1
and 1
z 5
2
y 4
k
x 1
are intersecting is
COMPREHENSION
If three independent conditions are given then can find the equation of a plane which is satisfy all the given
conditions? Equation of a plane containing the lines
1
1
1
1
1
1
c
z z
b
y y
a
x x
and 2
2
2
2
2
2
c
z z
b
y y
a
x x
is
given by
2 2 2
1 1 1
1 1 1
a b c
a b c
x x y-y z-z
Equation of a plane passing through three non-collinear points (x, y, z), (x 2 , y 2 , z 2 ) and (x 3 , y 3 , z 3 ) is given by
3 2 3 2 3 2
2 1 2 1 2 1
1 1 1
x -x y -y z - z
x -x y -y z -z
x x y-y z-z
Choose the correct answer:
- 2The equation of a plane containing the linesiˆ^ 2 ˆjkˆ(iˆ 2 ˆjkˆ)
andiˆ^ 2 ˆjkˆ(iˆˆj 3 kˆ)
(1) 7x + 4y – z = 5 (2) 7x + 4y – z = 0
(3) 7x + 4y – 2 =1 (4) 7x + 4y – z = 3
- 4The equation of plane passing through (1, 2, -3), (0, 0, 0) and perpendicular to the plan 3x – 5y + 2z = 1 is
(1) 3x + y +
z = 0 (2) 4x + y + 2z = 0
(3) 9x – 3y + z = 0 (4) x + y + z = 0
- 4The equation of plane passing through (4, 0, 1) and parallel to 4x + 3y – 12z + 6 = 0 is
(1) 4x + 3y – 12z – 4 = 0 (2) 4x + 3y – 12z + 4 = 0
(3) 4x - 3y – 12z – 4 = 0 (4) 4x + 3y + 12z – 4 = 0