# General Quiz WA (1- ) 12th ABCD.pdf

STUDY INNOVATIONSEducator à Study Innovations

QUIZ-1 (CLASS-XII) Q.1 A circular arch having width 24m and height 9m is to be constructed. What is the radius of the circle of which the arch is an arc? (A) 10m (B) 12.5 m (C) 13.5m (D) 14m Q.2 The sum of the solutions on the interval (0, 2] to the equation: 0 = – (2 sin 2 x + 2 cos2 x)  , is (cos x  0 )  cos x  (A) 3 (B) 4 (C) 5 (D) 6 Q.3 Let XOY be a right triangle with XOY = 90°. Let M and N be the midpoints of legs OX and OY respectively. If XN = 19 and YM = 22, then XY equals (A) 26 (B) 13 (C) 32.5 (D) 41 Q.4 Given parallelogram ABCD, with AB = 10, AD = 12 and BD = 2 . The length of (AC) is (A) 10 (B) 2 (C) 12 (D) 2 Q.5 ABC is a right triangle with hypotenuse AB and AC = 15 cm. Altitude CH divides AB into segments AH and HB, with HB = 16cm. The area of ABC, is (A) 120 cm2 (B) 144cm2 (C) 150cm2 (D) 216cm2 Q.6 Consider the eight digit number N = 11115556. Which of the following statements are true? I. N is divisible by 11 II. N – 9 is a prime III N is a perfect square (A) I (B) II (C) III (D) I, II and III Q.7 The value of the series 1 + 2 – 3 – 4 + 5 + 6 – 7 – 8 + 9 + ... – 99 – 100, is (A) –100 (B) 0 (C) 1 (D) 100 QUIZ-2 (CLASS-XII) One or more than one is/are correct. Q.1 If x = t3 + t + 5 & y = sin t then (3t 2 + 1) sin t + 6 t cos t d2y dx2 = (3t 2 + 1) sin t + 6 t cos t (A)  (3t 2 + 1)3 (B) (3t 2 + 1)2 (C)  (3t 2 + 1) sin t + 6 t cos t 2 (D) cost 2 (3t 2 + 1) 1 d2y 3t + 1 Q.2 If y = 2x2 + 3x + 1 then dx2 at x =  2 is : (A) 38 27 (B)  38 27 (C) 27 38 (D) none Q.3 If y2 = P(x), is a polynomial of degree 3, then 2  d  dx  y . d2y 2  equals :  dx  (A) P  (x) + P  (x) (B) P  (x) . P  (x) (C) P (x) . P  (x) (D) a constant Q.4 If f (x) = x  2 & g (x) = f ( f (x)) then for x > 20, g  (x) = (A) 1 (B)  1 (C) 0 (D) none Q.5 People living at Mars, instead of the usual definition of derivative D f(x), define a new kind of derivative, D*f(x) by the formula D*f(x) = Limit h0 f 2 (x + h)  f 2 (x) h where f2 (x) means [f(x)]2. If f(x) = x lnx then D * f (x) x = e has the value (A) e (B) 2e (C) 4e (D) none Q.6 If f(x) = x . x, then its derivative is : (A) 2x (B)  2x (C) 2x (D) 2x sgn x QUIZ-3 (CLASS-XII) Q.1 If y = and dy dx = ax + b then the value of a + b is equal to 5 (A) cot 8 Q.2 Value of sin 705° is 5 (B) cot 12 5 (C) tan 12 5 (D) tan 8 (A) 6  2 4 (B) 2  6 4 (C) 3  2 4 (D) 1 3 2 Q.3 Find all real functions of one real variable that satisfy the following functional equation,  1  f (x) + 2 f  x  = x   Q.4 In the figure, each region T represents an equilateral triangle and each region S a semicircle. The complete figure is a semicircle of radius 6 with its centre O. The three smaller semicircles touch the large semicircle at points A, B and C. What is the radius of a semicircle S? Q.5 Solve  = 2. QUIZ-4 (CLASS-XII) Q.1 If f (x) = x5 + 2x3 + 2x an

## Recommandé

Exam7Hafsa Hina
305 vues27 diapositives

## Similaire à General Quiz WA (1- ) 12th ABCD.pdf

DPP-92-94-PCSTUDY INNOVATIONS
2 vues4 diapositives
251 vues17 diapositives

### Similaire à General Quiz WA (1- ) 12th ABCD.pdf(20)

DPP-92-94-PC
STUDY INNOVATIONS2 vues
Dpp 13th Maths WA.pdf
STUDY INNOVATIONS21 vues
Maieee03
FUNCTION & INVERSE (QB) FOR - F.docx
STUDY INNOVATIONS17 vues
General Quiz (1- ) 12th ABCD.pdf
STUDY INNOVATIONS7 vues
Straight line and circle WA.pdf
STUDY INNOVATIONS21 vues
STUDY INNOVATIONS3 vues
DPP-48-50-Ans
STUDY INNOVATIONS3 vues
STUDY INNOVATIONS10 vues
Complex Number Dpp (1 to 6) 12th WA.pdf
STUDY INNOVATIONS42 vues
Dpp (1 - 28) 12th Maths WA.pdf
STUDY INNOVATIONS15 vues
1
KUMARASWAMY JINNE730 vues
Dpp 12th Maths WA.pdf
STUDY INNOVATIONS78 vues
STUDY INNOVATIONS2 vues
DPP-42-44-PC
STUDY INNOVATIONS3 vues
QE Determinant & Matrices (13th)WA.pdf
STUDY INNOVATIONS18 vues

### Plus de STUDY INNOVATIONS(20)

Physics-DPP-3-work, power and energy
STUDY INNOVATIONS6 vues
Physics-DPP-2-work, power and energy
STUDY INNOVATIONS12 vues

### Dernier(20)

ICS3211_lecture 08_2023.pdf
Vanessa Camilleri68 vues
Gopal Chakraborty Memorial Quiz 2.0 Prelims.pptx
Debapriya Chakraborty221 vues
Universe revised.pdf
DrHafizKosar84 vues
STYP infopack.pdf
Fundacja Rozwoju Społeczeństwa Przedsiębiorczego143 vues
Plastic waste.pdf
alqaseedae81 vues
ACTIVITY BOOK key water sports.pptx
Mar Caston Palacio132 vues
Classification of crude drugs.pptx
GayatriPatra1449 vues
ICANN
RajaulKarim2057 vues
STERILITY TEST.pptx
Anupkumar Sharma102 vues
Dance KS5 Breakdown
WestHatch52 vues
Drama KS5 Breakdown
WestHatch50 vues
Psychology KS4
WestHatch52 vues
BYSC infopack.pdf
Fundacja Rozwoju Społeczeństwa Przedsiębiorczego144 vues
discussion post.pdf
jessemercerail70 vues
AI Tools for Business and Startups
Svetlin Nakov57 vues

### General Quiz WA (1- ) 12th ABCD.pdf

• 1. QUIZ-1 (CLASS-XII) Q.1 Acirculararchhaving width24m andheight 9m isto be constructed. Whatis the radius ofthecircleof which the archis an arc? (A)10m (B) 12.5 m (C) 13.5m (D)14m Q.2 The sum ofthe solutions on theinterval (0, 2] to the equation: 0 = –             x cos x sin x sin x cos 2 x sin 2 3 2 2 , is (cos x  0 ) (A) 3 (B) 4 (C) 5 (D) 6 Q.3 Let XOY be a right triangle with XOY = 90°. Let M and N be the midpoints of legs OX and OY respectively. If XN = 19 andYM = 22, then XYequals (A) 26 (B) 5 13 (C) 32.5 (D) 41 Q.4 Given parallelogramABCD, withAB = 10,AD = 12 and BD = 13 2 .The length of (AC) is (A) 10 (B) 13 2 (C) 3 12 (D) 109 2 Q.5 ABC is arighttrianglewithhypotenuseABandAC =15cm.Altitude CH dividesABinto segmentsAH and HB, with HB =16cm.The area of ABC, is (A) 120 cm2 (B) 144cm2 (C) 150cm2 (D) 216cm2 Q.6 Consider the eightdigit numberN =11115556.Which of the followingstatements are true? I. N isdivisible by11 II. N – 9 is a prime III N is a perfect square (A) I (B) II (C) III (D) I, II and III Q.7 The valueoftheseries 1 + 2 – 3 – 4 + 5 + 6 – 7 – 8 + 9 + ... – 99 – 100, is (A) –100 (B) 0 (C) 1 (D) 100 QUIZ-2 (CLASS-XII) One or more than one is/are correct. Q.1 If x = t3 + t + 5 & y = sin t then d y dx 2 2 = (A)      3 1 6 3 1 2 2 3 t t t t t    sin cos (B)     3 1 6 3 1 2 2 2 t t t t t    sin cos (C)      3 1 6 3 1 2 2 2 t t t t t    sin cos (D) cost t 3 1 2  Q.2 If y = 1 2 3 1 2 x x   then d y dx 2 2 at x =  2 is : (A) 38 27 (B)  38 27 (C) 27 38 (D) none MATHEMATICS Quiz from 1 to 5
• 2. Q.3 If y2 = P(x), is a polynomial of degree 3, then 2 d dx       y d y dx 3 2 2 .       equals : (A) P  (x) + P  (x) (B) P  (x) . P  (x) (C) P (x) . P  (x) (D) a constant Q.4 If f (x) = x  2 & g (x) = f ( f (x)) then for x > 20, g  (x) = (A) 1 (B)  1 (C) 0 (D) none Q.5 PeoplelivingatMars,insteadoftheusualdefinitionofderivativeDf(x),defineanewkindofderivative, D*f(x)bytheformula D*f(x) = Limit h f x h f x h    0 2 2 ( ) ( ) where f(x) means [f(x)]2. If f(x) = x lnx then D f x x e * ( )  has the value (A) e (B) 2e (C) 4e (D) none Q.6 If f(x) = x . x, then its derivative is : (A) 2x (B) 2x (C) 2x (D) 2x sgn x QUIZ-3 (CLASS-XII) Q.1 If y = 1 x 3 x 1 x x 2 2 4     and dx dy = ax + b then the value of a + b is equal to (A) cot 8 5 (B) cot 12 5 (C) tan 12 5 (D) tan 8 5 Q.2 Valueofsin 705° is (A) 4 2 6  (B) 4 6 2  (C) 4 2 3  (D) 2 3 1 Q.3 Findallrealfunctionsofonerealvariablethatsatisfythefollowingfunctionalequation, f (x) + 2 f       x 1 = x Q.4 In the figure, each region T represents an equilateral triangle and each region S a semicircle. The complete figure is a semicircle of radius 6 withitscentreO.Thethreesmallersemicirclestouchthelargesemicircle at pointsA, B and C.What is the radius of a semicircle S? Q.5 Solve 3 3 28 x 6 28 x 6    = 2. QUIZ-4 (CLASS-XII) Q.1 If f (x) = x5 + 2x3 + 2x and g is the inverse of f then g'(–5) is equal to (A) 13 1 (B) 1 (C) 7 1 (D) none Q.2 Suppose thefunction f (x)– f (2x)has the derivative 5 at x = 1 and derivative 7 at x = 2.The derivative of the function f (x) – f (4x) at x = 1, has the value equal to (A) 19 (B) 9 (C) 17 (D) 14 Q.3 Findthenumberoftriangles withsides of integerlength whoseperimeteris 10. (A) 4 (B) 3 (C) 2 (D) 0
• 3. Q.4 The value of the parameter m for whichthe equation 1 x 3 2 x   = m x 6 1 x 2   has no solution for x, is (A) 12 (B) 18 (C) 14 (D) 13 Q.5 A circle of area 20 is centered at the point indicated bya solid dot in the accompanying figure. Suppose that ABC is inscribed in that circle and has area 8. The central angles ,  and  are as shown. What is the value of sin  + sin  + sin ? (A) 5 4 (B) 4 3 (C) 3 2 (D) 2  QUIZ-5 (CLASS-XII) Q.1 Which of the followingcould be the sketch graph of y= d dx (x ln x)? (A) (B) (C) (D) Q.2 If y = (A + Bx) emx + (m  1)2 ex then d y dx 2 2  2m dy dx + m2y is equal to : (A) ex (B) emx (C) emx (D) e(1  m) x Q.3 Number ofsides in aregularpolygonifthesumofits interioranglesis 2520°, is (A) 14 (B) 16 (C) 18 (D) 20 Q.4 The value of x such that 4(1 + y)x2 – 4x + 1 – y = 0 is true for all real values of y, is (A) – 1/2 (B) – 2/3 (C) 2/3 (D) 1/2 Q.5 The lengths of the sides of triangleABC are 60, 80 and 100 with A=90°.The lineAD divides triangleABC into two triangles ofequal perimeter. Calculatethelength ofAD. ANSWER KEY QuizOne Q1. B Q2. A Q3. A Q4. D Q5. C Q6. C Q7. D QuizTwo Q1. A Q2. A Q3. C Q4. A Q5. C Q6. C Quiz Three Q1. B Q2. B Q3. f (x) =        x x 2 3 1 Q4. 3( 1 3  ) Q5. x = 6 QuizFour Q1. A Q2. A Q3. C Q4. D Q5. A Quiz Five Q1. C Q2. A Q3. B Q4. D Q5. 24 5
Langue couranteEnglish
Español
Portugues
Français
Deutsche