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If in a $△ABC,2cosAsinC=sinB$, Then the triangle is

The marked price of an electronic device is ₹9200 and the sales tax levied on it is 8% .A customer asks trader to give this device for 9000 or less as he did not had enough amount ..the shopkeeper charged ₹8856 only including sales tax .Find the discount given by the shopkeeper.

There is a toy rocket in the shape shown below. The base radius of the cylinder = 1.5 cm. Base radius of the cone = 2.5 cm. Find the total surface area (in sq.cm) of the toy.

What is the probability of getting a sum of 7 on two rolls of a die?

Zeroes of quadratic polynomials are given on the left. Match them with the respective quadratic polynomials.

148/x + 231/y = 527/xy , 231/x + 148/y = 610/xy

Solve simultaneous equations

Question 5

A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1. i.e., 3m or 3m +2 for some integer m? Justify your answer.

IF the probability of winning a game is 0.4 then te probability of losing it, is
(a) 0.96 (b) $\frac{1}{0.4}$ (c) 0.6 (d) none of these

Which among the options is a part of the subordinate clause in the sentence?

If you give up without trying, you will regret it later.

A wire is bent to form a square enclosing an area of 484 m^2. Using the same wire, a circle is formed. Find the area of the circle.

The number of ways in which 48 can be expressed as a product of it primes is (not considering the order in which these primes occur) _____.

Match the following terms such that the arithmetic means of these terms equals the middle term of the AP

If a triangle has angles ${45}^{\circ },{45}^{\circ }$, and ${90}^{\circ }$, what is the ratio of the sides of the triangle opposite to these angles respectively?

(10) Seg XZ is a diameter of a circle. Point Y lies in its interior. How many of the following statements are true ? (i) It is not possible that ∠XYZ is an acute angle. (ii) ∠XYZ can’t be a right angle. (iii) ∠XYZ is an obtuse angle. (iv) Can’t make a definite statement for measure of ∠XYZ.

A number is chosen at random among the first 100 natural numbers. Find the probability that the number chosen is prime.

On constructing a triangle ABC, with AB = 4.3 cm, AC = BC = 5.6 cm, the distance between the points which are both equidistant from AB and AC and also 1 cm from BC is

If $A=\left[\begin{array}{ccc}-1& 0& 2\\ 3& 1& 4\end{array}\right],B=\left[\begin{array}{ccc}0& -2& 5\\ 1& -3& 1\end{array}\right]$ and $C=\left[\begin{array}{ccc}1& -5& -2\\ 6& 0& -4\end{array}\right],$ then $2A-3B+4C$ is

In FCC structure octahedral sites are present at:

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of heights of cylinder to cone is $4:3,$ the ratio of their volumes is

The roots of a quadratic equation are 5 and –2. The equation is -

1. 11

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={80}^{\circ },\angle BAC$ is ${40}^{\circ },$ find $\angle BCD$.

The maximum value of 3cosx + 4sinx + 5 is

For an AP of 14 terms, find the option which gives the value equal to $a_4+a_{11}$.

Find the sum of the first $24$ terms of an AP whose $n^{\text{th}}$ term is given by $t_n=3+2n.$

The set A = {x:x ∈ R, $x^2$ = 16 and $2x$ = 6} equals

Solve each of the following systems of eqautions by the method of cross-multiplication:

$\frac{x+y}{xy}=2$,

$\frac{x-y}{xy}=6$

Question 77

Solve the following:

3(5x-7)+2(9x-11)=4(8x-7)-111

The plane which bisects the line segment joining the points $(-3,-3,4)$ and $(3,7,6)$ at right angles, passes through which of the following points: