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Mean of 6numbers is 30if one no is excluded their mean is 24,find excluded no

Posted by Gitika Gupta 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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what is CPCT

Posted by Rishikesh Katare 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Kumari Archana 8 years, 4 months ago

Corresponding parts of congruent triangles

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What is lateral surface area of pyramid

Posted by Sanket Kumar 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Ztt

Posted by Arohi Jain 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Angle a + angle b = angle c to prove

Posted by Aryan Kodinya 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Prove that point L M N are collinear

Posted by Utkarsh Kumar 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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How much chapter come in sa1

Posted by Ankit Jaiswal 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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if x=3k-2,y=2k.4x-7y+12=0 than find the value of k

Posted by Shelly Jaswal 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Ankit Jaiswal 8 years, 4 months ago

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What is mid point theorem.explain with examples.

Posted by Priyanshi Bhatia 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Swami Jee 8 years, 4 months ago

The mid-point of the line segment is the geometric centre of the line segment. Mid-point of a line segment divides it into two equal halves.

Mid-Point Theorem
The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.

Given: In triangle ABC, P and Q are mid-points of AB and AC respectively.

To Prove: i) PQ || BC ii) PQ = 1/ 2 BC

Construction: Draw CR || BA to meet PQ produced at R.

Proof:
∠QAP = ∠QCR (Pair of alternate angles) ---------- (1)

AQ = QC (∵ Q is the mid-point of side AC) ---------- (2)

∠AQP = ∠CQR (Vertically opposite angles) ---------- (3)

Thus, ΔAPQ ≅ ΔCRQ (ASA Congruence rule)

PQ = QR (by CPCT) or PQ = 1 /2 PR ---------- (4)

⇒ AP = CR (by CPCT) ........(5)

But, AP = BP (∵ P is the mid-point of the side AB)

⇒ BP = CR

Also. BP || CR (by construction)

In quadrilateral BCRP, BP = CR and BP || CR

Therefore, quadrilateral BCRP is a parallelogram.

BC || PR or, BC || PQ

Also, PR = BC (∵ BCRP is a parallelogram)

⇒ 1 /2 PR = 1/ 2 BC

⇒ PQ = 1 /2 BC [from (4)]

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Prove that the line joining the mid point of twoequal chordsof circle subtend equal angles with the chod

Posted by Deepak Singh 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Evaluat 128× 108

Posted by Shilpi Singh 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Shilpi Singh 8 years, 4 months ago

Thanks

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Anish Kumr Kumar 8 years, 4 months ago

13824

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Give the properties of trapezium ...

Posted by Piyush Gautam 8 years, 4 months ago

CBSE > Class 09 > Mathematics

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Vidhi Jain 8 years, 4 months ago

Properties of the sides of an isosceles trapezium: The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent). The diagonals (not show here) are congruent.

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A number is 27 more than the number obtained by reversing it's digits. If it's unit digit is x and ten's digit be y. Write a linear equation representing it

Posted by Ishani Dutta 8 years, 4 months ago

CBSE > Class 09 > Mathematics