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Point (-5,0) and (4,0) are invariant point under reflection in the line L_1 ,point (0,-6) and (0,5) are invariant on reflection in the line L_2 . Write down the image of P and Q on reflection in L_2 . Name the images as P'' and Q'' respectively.

Find the roots of the quadratic equations by factorisation: 3(x-4)^(2)-5(x-4)=12

(a) State the basic proportionality theorem. (b) state the mid-point theorem. © State pythagoras theorem. (d) State the conditions for similarity of two triangles.

If the roots of the equation (b-c) x^(2) + (c -a) x + (a -b) = 0 are equal show that a, b, c are in A.P.

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden by graphical method.

Express the H.C.F. of 30 and 36 in the form of 30x + 36y.

Determine the value of the following. log_(2)512

Metallic spheres of diameters 12 cm, 16 cm and 20 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

In the given figure, the line segment which subtends right angle in the semi-circle is :

Find which one word cannot be made from the letters of the given word. CHOREOGRAPHY

P and Q are centres of circles of radii 9 cm and 2 cm respectively. PQ = 17 cm. R is the centre of a circle of radius x cm which touches the above circles externally. Given that anglePRQ = 90^@ , write an equation in x and solve it.

Statements: 1. Some papers are pens. 2. Angle is a paper. Conclusions: 1. Angle is not a pen. 2. Angle is a pen.

If alpha and beta zeroes of the quadratic polynomial x^2-6x+y . find the value of y if 3 alpha+2beta=20

Solve for x , using the properties of proportionality (1+x+x^2)/(1-x+x^2)=(62(1+x))/(63(1-x))

John had 1000 shares of a company with a face value of 40rs and paying 8% dividend. He sold some of these shares at a discount of 10% and invested the proceeds in 20rs shares at a premium of 50% and paying 12% dividend. If the change in his income is 192rs, find the number of shares sold by John.

Which of the following is true?

Find the cost of 85 shares of 60rs each when quoted at 63.25rs.

Compare the following ratios : (sqrt(16))/(3) , (4)/(sqrt(24))

As observed from the top of a light house 100m above sea level,the angle of depression of a boat, sailing directly towards it, changes from 30^(@) " to " 45^(@). Determine the distance travelled by the boat during the period of observation (sqrt3= 1.732)

Solve each the following pairs of equations by reducing them to a pair of linear equations. (viii) 1/3x+y + 1/3x+y + 1/3x-y = 3/4 1/2(3x+y) - 1/2(3x-y) = -1/8

Find the value of log 36, log 3600 and log 0.0036.

Find the co-ordinates of the points fo trisection of the line segment joining the points (-2, 0) and (4, 0).

A round table top has six equal designs as shown in the figure. If the radius of the table top is 14cm, find the cost of making the designs with paint at the rate of rs 5 Per cm^(2) ( use sqrt(3)=1.732)

From the top of the house 18m high, if the angle of elevation of the top of a tower is 45° and the angle of depression of the foot of the tower is 30°, then the height of the tower is

Draw two concentric circles of radii 3 cm and 5 cm . Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation .

In the following question, there are three words which are related in some way. The relationship in each case is indicated by one of the four alternatives (a), (b), (c) and (d) given below. The alternative which best states the relationship is your answer. Wheat, Loaf, Barley

If the 3rd and the 9th terms of an AP are 4 and -8 respectively , which term of this AP is zero?

Find relation between p and q if x =3, y =1 is a solution of a pair of linesx - 4y +p=0 and 2x + y-q -2=0.

If points (a,0),(0,b) and (1,1) are collinear, then ((a+b)/(ab)) equals

Solve graphically : 2x-y=2 and 4x-y=4

Draw a circle of radius 4.2 cm and centre O. Mark apoint P at a distance of 7 cm from the centre. Draw tangents to the circle from Points P. (March '19)

Al Food Mart' paid total GST of 75,200 at the time of purchase and collected GST 96,200 at the time of sale during1st of March 2018 to 31st March 2018. Find the GST payable by Al Food Mart.

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

There are 60 students in a class. The following is the frequency distribution of the marks obtained by the students in a test: Where "p" is positive integer. Determine the mean and standard deviation of the marks.

PQR is a right angled triangle at Q with QR =12 a=cm and PQ=5cm. A circle with centre O is inscribed in trianglePQR. Find the radius of the circle.

lf A(-4, 8), B(-3,-4), C(0,-5) and D(5, 6) are the vertices of a quadrilateral ABCD, find its area.

Which of the following are sets? Justify your answer. The collection of all months of a year beginning with the letter ''J"

Diagonals of a trapezium ABCd with AB||DC intersect each other at the point O. If AB = 2 CD , find the ratio of the areas of triangles AOB and COD.

The polynomial px^(3)+4x^(2)-3x+q completely divisible by x^2-1: find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

Mr. Suraj purchased 70 shares of Face value 100 when the Market value of the share was 120. Company had given 15% dividend. Find the rate of return of investment.