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In Figure 2, AD | BC. Prove that AB^2 +...

In Figure 2,` AD _|_ BC`. Prove that ` AB^2 + CD^2 = BD^2 + AC^2`.

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    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 Videos

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In Figure 3, AD _|_BC and BD=1/3CD . Prove that 2 CA^2 = 2 AB^2 + BC^2 .

In Figure DE||BC and CD||EF. Prove that A D^2=A B*A F .

In the given figure AC = BD, prove that AB = CD.

The following figures shows a triangle ABC in which AD is median and AE bot BC. Prove that : 2AB ^(2) + 2AC^(2) = 4AD^(2)+ BC^(2)

The given figure shows a triangle ABC, in which AB gt AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : AB^(2) +AC^(2) =2BE^2 +2AE^2

The following figure shows a triangle ABC in which AD is a median and AE bot BC . Prove that 2AB^(2)+ 2AC^(2) = 4AD^(2) + BC^(2) .

In any triangle ABC, prove that AB^2 + AC^2 = 2(AD^2 + BD^2) , where D is the midpoint of BC.

In a quadrilateral ABCD angle B = angle D = 90 ^(@) Prove that : 2AC^(2) - BC^(2) = AB^(2) + AD^(2) +DC^(2)

In figure, DE || AB and BD || BEF. Prove that DC^2=CF xx AC

P and Q are the mid-points of the CA and CD respectively of a triangle ABC, right angled at C. Prove that: 4AQ^2 = 4AC^2 + BC^2 , 4BP^2 = 4BC^2 + AC^2 , and 4(AQ^2 + BP^2) = 5AB^2 .

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
  1. If the coordinates of the mid-points of the sides of a triangle are (3...

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  2. If the coordinates of the mid-points of the sides of a triangle are (3...

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  3. In Figure 2, AD | BC. Prove that AB^2 + CD^2 = BD^2 + AC^2.

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  9. An open metal bucket is in the shape of a frustum of a cone, mounte...

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  10. If the radii of the circular ends of a conical bucket of height 16 cm ...

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  11. Find mean, median and mode of the following data :

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  12. Find mean, median and mode of the following data : 10, 12, 14, 16, 14

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  13. LCM of two numbers x and y is 720 and the LCM of numbers 12x and 5y is...

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  14. If 1 is a zero of the polynomial p(x) = ax^2 — 3 (a — 1) x - 1, then f...

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  16. If sec^2 theta (1 + sin theta) (1 — sin theta) = k, then find the val...

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  18. Find the number of solutions of the following pair of linear equations...

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  19. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

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  20. If a, b and c are three consecutive coefficients terms in the expansio...

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