Note:Use this paper to write the answers to the objective questions.No marks will be awarded for           cutting,over-writing or using a pencil.This paper must be tagged with the answer-book.

(i)      If the number of elements in set A and b is 2 each; then how many binary relations would there be in          AxB:

         (a)        8                (b)          4

         (c)        16               (d)        32

(ii)     How is 0.000573 written as in scientific notation?

         (Ans) 5.73x10-4

(iii)    According to what property of real number is the sum of any two real numbers a and b also a real          number i.e.,a,b ε R —> a+b ε R

         (Ans)clousure

(iv)    what is the remainder when expression x 3+ 4x2 -7x+3is divided by x -1 ?

         (Ans) -1

(v)     What is the HCF of  5x2y2 ,20x3y3and 25x4y2 ?                              

         (Ans)  5x2y2

(vi)    What isthe value of x if         is a singular matrix?

         (Ans)   4

(vii)    In the given figure AB =AC m / ACD =110  .what is the value of x?

          (a)    40                       (b)    70

          (c)    35                       (d)    60

(viii)   In the given figure which portion represents A-B:

 

 

 

 

          (Ans) Horizontal Lined.

(ix)    What is the solution set of education 2 √y-3 =1?

         (Ans) {4}

(x)     What is the dispersion in the grades x=1.1,0,1,1,?

          (Ans) 1

(xi)     In the figure below , two concentric circules with a common centre O and radii 5cm and 3cm are           given, Chord AB touches the smaller circul externally at point C,what is the length of chord AB.

          (Ans) 8cm

(xii)     If x/a b and a/x =c; what is the relation independent of x?

           (Ans) bc=1

(xiii)    What should be added to x2 +6x to make it a complete square?

           (Ans) 9

(xiv)    The fingure below shows a circle with centre O and m / AOB= 120 .What is the m / APB?

            (a)      40                     (b)      60

            (c)      45                     (d)      50

 

 

 

 

 

 

(xv)     What is the solution set of x-x-2=0?

           (Ans) {--1,2}

(xiv)    Measures of the three sides of triangle are 5,x,13. For what value will x become base of right angle            triangle ?

           (Ans) 12

(xvii)   what is the measure of "0" in the given right angle triangle when m / c=90 ?

          (a)     40                        (b)       30

          (c)     45                        (d)       60

 

 

 

 

 

 

 

(xviii)   What is the simplest form of 5√243 ?

            (Ans) 3

(xix)    Y varies inversely with x and k= 2.What would be value of y,if x= 5?                                                 (Ans) 4

(xx)     What is the degree of the polynomial 6x4 +x2y+2y2 +1?                                                                   (Ans) 4

                                                                   (subjective)

(i)       If        U          =      {1,2,3,4......,10},        A={2,4,6}            B-{1,2,3,4,5,6,7,} find (A n B)c

(ii)      Find the solution set of  2y+5 < 7y+17 (when y ε R)

                                                2             2

(iii)     Simplify  √64a3b9

                        216c6d18

(iv)     Eliminate x from x-1/=2a, x3 -1/x3=b3

(v)      Factorize a 3 -a-2b+8b3

(vi)     If    a/b   =  c/d,    then prove that a+b/ c+d= √a2 - ab+b2

                                                                                 c2 - cd+d2

(vii)    Find the value of 4ab when a+b when a+b=15,a-b=3.

(viii)   The mean of the numbers 4,9,3,15,19, is 10. Find the standard deviation.

(ix)     Find the mode of the data given below:

 

 

(x)      Prove that cos o (tan 0 + cot 0)=cosec 0

(xi)     Construct a triangle ABC in which m AB=5cm, mBC=4cm, mCA=7cm and draw the medians of           this triangle.

(xii)    If x= √3 ..√2 , find the value of x2 +1/x2 .

(xiii)   Evaluate with the help of logarithms 3√373.3

                                                                3√256.4

(xiv)   Find the value of a2 +b2 +c2  if ab+bc+ca=11 and a+b+c=6.

(xv)    If A=[     ] then prove that A.A-1=1

(xvi)   Find the solution set by quadratic formula x2 -6x-7=0.

3-      Prove that if a diameter of a circul bisects a chord , it will be perpenicular to the chord .

4-      Prove that the sum of the measures of any two sides of a triangle is greater than the measure of the           third side.

5-      Prove that if three or more parallel lines make segments congruent on one transversal, they also           make congruent segments on any other transversal.

6-      If in any correspondence of two triangle, two angles and one side of a triangle are congruent to the          corresponding two angle and one side of the other.then prove that the triangles are congruent.

7-     Draw a circle of radius 3cm. Take a point "P" at a distance 6.5cm from the centre of a circul. Draw          tangents to the circle from the point "P" . Measure the length of tangential segments.Also write the

         steps pf construction.

8-     Measure of the angle of elevation of the top of acliff is 30 at a certain point, on walking 100m          to- wards the cliff, measure of angle of elevation of the top become 45 .Find the height of the cliff.