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If (4x+3y)/(4x-3y)=7/4 use the properties to find the value of (2x^2-11y^2)/(2x^2+11y^2)

M(-3, 7) and N(-1, 6) are the points of trisection of segment AB where A-M-N-B Find the co-ordinates of A and B

The sum of a two digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.

Mrs. Kulkarni invests 131040rs in buying 100rs shares at a discount of 9%. She sells shares worth 72000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.

Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD bot BC, then prove that AD^(2) = 3DC^(2).

Select from the four alternative diagrams,the one that best illustrates the relationship among the three classes:Pigeons,Birds,Dogs.

Two water taps together can fill a tank in 9(3)/(8)hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

In each of the following find the value of 'k' for which the points are collinear . (8,1),(k,-4),(2,-5)

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m, calculate : area of canvas, required to make this tent allowing 10% of the canvas used for folds and stitching

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m, calculate : total surface area of the tent,

If A (-5, 7), B (-4, - 5), C (-1, - 6) and D (4, 5) are vertices of a quadrilateral, find the area of the quadrilateral ABCD.

How many silver coins, 1.75cm in diameter and thickness 2mm, must be melted to from a cuboid of dimensions 5.5cmxx10cmxx3.5cm ?

The surface areas of two spheres are in the ratio 1:4. Then, the ratio of their volumes is ........

A line intersect the Y-axis and X-axis at he points P and Q respectively. If (2,-5) is the mid-point of PQ, then find the coordinate of P and Q.

Find the values of k so that the area of the triangle with vertices (1, -1), (-4, 2k), and (-k, - 5) is 24 sq. units.

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse . Find thevolume and the surface area of the double cone so formed. (use pi=3.14)

How many straight lines are contained in the diagram given below ?

How many cubic metres of earth must be dug out to make a well 28 m deep and 2.8 m in diameter ? Also, find the cost of plastering its inner surface at Rs 4.50 per sq. metre.

A dividend of 12% was declared on 150rs shares selling at a certain price. If the rate of return is 10% calculate (i) the market value of the shares (ii) the amount to be invested to obtain an annual dividend of 1350rs

Find the sumof the following: (1- (1)/(n) ) + (1- (2)/(n) ) + (1- (3)/(n) ) + …..... upto n terms.

Solve the following pair of linear equations by the substitution and cross-multiplication methods.

If (2.3)^x = (0.23)^y = 1000 , then find the value of 1/x- 1/y

Formulate the following problem as a pair of equations and then find their solutions. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.

Ajay owns 560 shares of a company. The face value of each share is 25rs. The company declares a dividend of 9%. Calculate (i) the dividend that Ajay will get (ii) the rate of interest on his investment, if Ajay had paid 30rs for each share.

In the given figure ABCD is trapezium with AB||CD and angleABC=90^@. Four sectors with centres A,B,C,D are cut off, each of radius 3.5cm. IF BC=CD=14cm and AB=21cm, find the area of the remaining trapezium.

A man invests a certain sum in buying 15% 100rs shares at 20% premium. Find : (i) his income from one share. (ii) the number of shares boughtto have an income, from the dividend 6480rs (iii) sum invested

If in the expansion of (1 + x)^(5) , the coefficients of (r -1)^(th) and (2r + 3)^(th) terms are equal, then the value of r is

If [x,y] [{:(,x),(,y):}]=[25] and [-x,y] [{:(,2x),(,y):}]=[-2,]2 find x andy if: (i) x, y in W (whole numbers) (ii) x,y in Z(integers)

Solve the following equation for x and give your answer correct to 2 decimal places : 3x^(2)+5x-9=0

Tick the correct answer in the following and justify your choice, IF the perimeter and area of a circle are numerically equal, the radius of the circle is

‘O’ is any point inside a rectangle ABCD. Prove thatOB^(2) + OD^(2) = OA^(2) + OC^(2)

The sum of first 14 terms of an AP is 1505 and its first term is 10. Find its tenth term.

From the same place at 7am 'A' started walking in the north at the speed of 5 km/hr. after 1 hr B started cycling in the east at a speed of 16km/hr. At what time they will be a distance of 52km apart from each other ?

Evaluate the following (sin 30^(@) +tan 45^(@) -cosec 60^(@) )/( sec 30^(@)+cos 60^(@) + cot 45^(@))

Find the area of the sector of a circle with radius 6 cm and angle 30^@.

Solve: 3x - 2 gt 19 " or " 3 - 2x ge 7 , x in R

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the coordinate axes is a constant. Show that the plane passes through a fixed point.

More than half the number of balls in a bag is red. Then the probability that a ball drawn at random is not a red ball ?

If satish bought 120, Rs. 200 shares of a particular company at a premium of Rs. 24, paying 9% dividend, then find Satish's annual income.

A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half the radius of the original one. How many such balls can be made ?

Q's Mother is the sister of P and daughter of M. S is the daughter of P and sister of T. How is M related to T?

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting ared face card.

M/s. Jaay Chemicals purchased a liquid soap having taxable value 8000 and sold it to the consumers for the taxable value 10,000. Rate of GST is 18%. Find the CGST and SGST payable by M/s. Jay Chemicals.

A solid metallic hemisphere of diameter 28 cm is melted and recast into a number of identical solid cones, each of diameter 14 cm and height 8 cm. Find the number of cones so formed.

Use a graph paper for this question . (Take two divisions = 1 unit on both the axes.) Plot the points P (3,2) and Q(-3,-2) . From P and Q , draw perpendiculars PM and QN on the x - axis. Name the image of P on reflection in the origin.

Use a graph paper for this question . (Take two divisions = 1 unit on both the axes.) Plot the points P (3,2) and Q(-3,-2) . From P and Q , draw perpendiculars PM and QN on the x - axis. Write the co - ordinates of points M and N.

Use a graph paper for this question . (Take two divisions = 1 unit on both the axes.) Plot the points P (3,2) and (-3,-2) . From P and Q , draw perpendiculars PM and QN on the a - axis. Write the co-ordinates of the point to which M is mapped on reflection in : y - axis.

Use a graph paper for this question . (Take two divisions = 1 unit on both the axes.) Plot the points P (3,2) and (-3,-2) . From P and Q , draw perpendiculars PM and QN on the a - axis. Write the co-ordinates of the point to which M is mapped on reflection in : x - axis.

Use a graph paper for this question . (Take two divisions = 1 unit on both the axes.) Plot the points P (3,2) and (-3,-2) . From P and Q , draw perpendiculars PM and QN on the a - axis. Write the co-ordinates of the point to which M is mapped on reflection in : origin