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M U 4 years ago
Gaurav Seth 4 years ago
The steps of constructions are:
(a) Draw a line PQ and take a point O on it.
(b) Taking O as the centre and convenient radius, mark an arc, which intersects PQ at A and B.
(c) Taking A and B as centres and radius more than half of AB, draw two arcs intersecting each other at R.
(d) Join OR. Thus, ∠QOR = ∠POQ = 90 .
(e) Draw OD the bisector of ∠POR. Thus, ∠QOD is the required angle of 135.
(f) Now, draw OE as the bisector of ∠QOD=1/2 of 135=67.5
Posted by Angel Koddikar 4 years ago
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Gaurav Seth 4 years ago
AD and BC are equal perpendiculars to a line segment AB (see figure). Show that CD bisects AB.
Given: AD and BC are equal perpendiculars to a line segment AB.
To Prove: CD bisects AB.
Proof: In ∆O AD and ∆OBC
AD = BC | Given
∠OAD = ∠OBC | Each = 90°
∠AOD = ∠BOC
| Vertically Opposite Angles
∴ ∠OAD ≅ ∆OBC | AAS Rule
∴ OA = OB | C.P.C.T.
∴ CD bisects AB.
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Satyam Kumar 4 years ago
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Ananya Sharma 4 years ago
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Gaurav Seth 3 years, 11 months ago
Answer:
Step-by-step explanation:
Given:
squaring on both sides
Using the following identity
Gaurav Seth 3 years, 11 months ago
Posted by Tanmay Lende 4 years ago
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Gaurav Seth 3 years, 11 months ago
a N S W E R
Factors of x³-3x²-10x+24
Factors of x³-3x²-10x+24= (x-2)(x-4)(x+3)
Step-by-step explanation:
Let the polyomial p(x)=x³-3x²-10x+24
= x³+(-2x²-x²)+(2x-12x)+24
=(x³-2x²)+(-x²+2x)+(-12x+24)
=x²(x-2)-x(x-2)-12(x-2)
=(x-2)(x²-x-12)
=(x-2)(x²-4x+3x-12)
=(x-2)[x(x-4)+3(x-4)]
=(x-2)[(x-4)(x+3)]
=(x-2) (x-4) (x+3)
Therefore,
Factors of x³-3x²-10x+24
= (x-2)(x-4)(x+3)
Posted by Tanmay Lende 4 years ago
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Gaurav Seth 3 years, 11 months ago
Find the value of 'a' if (x - a) is a factor of x5 - a2x3 + 2x + a + 3. Hence, factorise x2 - 2ax - 3.
</div> <div class="qsnDetails" style="margin:0px; padding:0px; text-align:start; -webkit-text-stroke-width:0px"><font color="#000000">A N S W E R</font>
</div> <div class="expertBlock" style="margin:0px; padding:0px; text-align:start; -webkit-text-stroke-width:0px">Let p(x) = x5-a2x3+2x+a+3
Since, (x-a) is a factor of p(x), so p(a) = 0
</div>
Posted by Prince Jain 4 years ago
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Meghna Thapar 4 years ago
Root comes from the Latin word radix, which means "starting point," and you can think of the root of something as the place it starts from, whether that's the root of a tree, or the root of a problem.
The major types are:
- Fibrous Roots. Fibrous roots are found in monocot plants. ...
- Taproots. Taproots are found in the majority of dicot plants. ...
- Adventitious Roots. Adventitious roots are similar to the fibrous roots. ...
- Creeping Roots. ...
- Tuberous Roots. ...
- Water Roots. ...
- Parasite Roots.
Posted by Dilkhush Kumar 4 years ago
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Gaurav Seth 4 years ago
In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:
(i) OB = OC
(ii) AO bisects ∠A.
Given: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O.
To Prove: (i) OB = OC
(ii) AO bisects ∠A.
Proof: (i) AB = AC | Given
∴ ∠B = ∠C
| Angles opposite to equal sides of a triangle are equal
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Meghna Thapar 4 years ago
The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge. Diameter is defined as the length of a straight line through the center of a circle. An example of a diameter is the length of a line sliced down the center of a pie. There are two common abbreviations of diameter: dia. and diam. If you want to make either of these plural, simply add on an “s.”
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Gaurav Seth 4 years ago
Given,
Dimensions of the tank =
4000 people requiring 150 litres of water per head per day
The total volume of water required =
Let the number of days the water will last be
We know,
The volume of a cuboid =
The volume of the water tank =
According to question,
Therefore, the water in the tank will last for 3 days.
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Saumya Verma 4 years ago
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Samruddhi Khonde 4 years ago
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