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Irrational number between 2 and 2.5 is
Find the sum of the zeros of the polynomial \(p^2+2p24 \)
If \(\propto \) and \(\beta \) are the zeros of the quadratic polynomial \(x^23px2q \), find the value of \(\propto^2+\beta^2 \)
A quadratic equation always have:
Roots of the equation \(x^2+11x+24=0 \) are
If one root of \(5x^2+13x+k=0 \) is reciprocal of other then
If one root of \(P(x)=ax^2+bx+c \) is \(n^{th} \) times of other then
The sum of \((5^3+6^3+â€¦+15^3) \) is equal to
The ratio of areas of two similar triangles is 81:49. If the median of one triangle is 4.9 cm. What is the median of the other
Find the largest number which divides the numbers 120, 224, 256.
Books in a library are stacked in such a way that they are stored subject wise and the stacks are of the same size. If there are 144 geography books, 384 history books, 240 economics books. In how many stacks can the books be arranged?
Find the quadratic polynomial whose sum and product of zeros are both 1.
The remainder when \(x^45x+6 \) is divided by \(2x^2 \) is of the form \(px+q \). What are the respective values of \(p \) and \(q \)?
What is the number of solutions of \(4p6q+18=0 \) and \(2p3q+9=0 \)?
A two digit number is 4 times the sum of its digits and also 16 more than the product of digits. Find the number.
If \(\propto \) and \(\beta \) are the roots of the equation \(x^2+kx+12=0 \) such that \(\propto\beta=1 \), what is the value of \(k \)?
Find the general term of 4, 7, 10, 13, â€¦
Which is the first negative term of AP 35, 30, 25, â€¦?
In trapezium \(ABCD, AB  CD \). If \(OA=x4,OB=3x19, OC=4 \) and \(OD=x3 \). Find \(x \)
Two triangles BAC and BDC right angled at A and D respectively are drawn on BC and on the same side of BC. If AC and DB intersect at P, which of the following statement is true?
If the points (a, 0), (0, b), (1, 1) are collinear, which of the following is true?
A plane is divided into equal parts by the coordinate axis. What is each part called?
If \(x=3\cos A\cos B,y=3\cos A\sin B \) and \(Z=3\sin \). A find the value of \(x^2+y^2+z^2 \)
If four sides of a quadrilateral ABCD are tangential to a circle which of the following is true?
In \(\triangle ABC,\angle B=90^o \). If a cirlce drawn with \(AB \) as diameter intersects the hypotenuse \(AC \) at p, which of the following is true?
A circular grass lawn of 35m radius has a path 7m wide running around it on the outside. Find the area of the path.
How many plants will be there is a circular bed whose outer edge measures \(30\ cm \) allowing \(4\ cm^2 \) for each plant?
The length of the longest rod which can be kept inside a rectangular box is 27 cm. If the length and breadth is 23 cm and 10cm respectively. Find its height.
The mean of the marks in statistics of 100 students in class X was 72. The mean of marks for boys was 75 while their number was 70. What is the mean marks of girls in the class?
The AM of 12 observations is 15. If an observation 20 is removed, what is the arithmetic mean of the remaining observation?
A month is randomly selected from a year. An event X is defined as the month with 30 days. Identify the number of outcomes of event X.
Find the value of \(k \) for which \(5c^2kc+12=0 \) has real roots.
Find the next term of 16, 18, 21, 26, 33, 44, 57, â€¦.
From a tower on a straight road, the angles of depression of two cars at an instant are \(30^o \) and \(60^o \). If the cars are 10m apart find the height of the tower
Find the value of \(\cot^2 37^o\tan^253^o \)
229% and 21% pure acid solutions are mixed to obtain 47 litres of 47% pure acid solution. Find the amount of each type of acid (in litres)
What is the solution of \(\dfrac{3xy+1}{3}=\dfrac{2x+y+2}{5}=\dfrac{3x+2y+1}{6} \)?
If \(x=a\ \text{cosec}\ \theta\sin\ \phi,y=b\ \text{cosec}\ \theta\cos \) and \(Z=c\cot\theta \) then \(\left(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}\right) \) is equal to
The angle of elevation of a jet fighter from a point P on the ground is \(60^o \). After \(5 \) seconds of flight, the angle of elevation changes to \(45^o \) if the jet is flying at a height of \( 3000\ m\) find the speed of the jet in m/s
The production of television sets in a factory increases uniformly by a fixed number every year. The factory produced 2383 television sets in the 3rd year and 4878 television sets in the 8th year. Find the production of television sets in the 9th year.
If \(\sin A+\text{cosec}\ A=2 \), the value of \(\dfrac{\sin^4A+1}{\sin^2A} \) is
The value of \(\dfrac{1+\cos\theta\sin^2\theta}{\sin\theta(1+\cos\theta)} \) is
The value of \(1+\dfrac{\cot^2\theta}{1+\text{cosec}\ \theta} \) is
If \(3\sin\theta+5\cos\theta=5 \), the value of \(5\sin\theta3\cos\theta \) is
If \(\text{cosec}+\cot\theta=m \) and \(\text{cosec}\ \theta\cot\theta=n \) the value of \(mn \) is
Two circles of radii 10 cm and 8 cm intersect each other and the length of common chord is 12 cm. The distance between their centres is
\(ABCD \) is a cyclic quadrilateral and \(PQ \) is tangent to the circle with centre \(O \). \(BD \) is diameter \(\angle DCO=40^o,\angle ABD=60^o \). The value of \(\angle BCP \) is
A circle inscribed in \(\triangle ABC \) having \(AB=10\ cm,BC=12\ cm,CA=28\ cm \) touching sides at \(D,E,F \) respectively. The value of \(AD+BE+CF \) is
\(Q \) is the centre of the circle. If \(PA \) and \(PB \) are tangent, the volume of \(\angle AQB \) is
There are two concentric circles with centre O and radii 5 cm and 3 cm from an external point P, tangents PA and PB are drawn to there circles. If AP = 12 cm, the value of BP is