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GeometryQuestion and Answers: Page 96

Question Number 25930 Answers: 2 Comments: 0

A line passes through A(−3, 0) and B(0, −4). A variable line perpendicular to AB is drawn to cut x and y-axes at M and N. Find the locus of the point of intersection of the lines AN and BM.

$A line passes through A (- 3, 0) and$ $B (0, - 4) . A variable line perpendicular$ $to A B is drawn to cut x and y - axes at$ $M and N . Find the locus of the point of$ $intersection of the lines A N and B M .$

Question Number 25609 Answers: 0 Comments: 4

Question Number 25605 Answers: 1 Comments: 4

Question Number 25602 Answers: 1 Comments: 1

Question Number 25479 Answers: 1 Comments: 0

Question Number 25375 Answers: 1 Comments: 0

what is HCF of(1/(3 )) (2/3) (1/4) ?

$w h a t i s H C F o f \frac{1}{3} \frac{2}{3} \frac{1}{4} ?$

Question Number 25344 Answers: 1 Comments: 0

If A and B are two points on a circle of radius r, then prove that mAB^(−) ≤2r.

$If A and B are two points on a$ $circle of radius r, then prove that$ $m \overset{―}{AB} ⩽ 2 r .$

Question Number 25350 Answers: 0 Comments: 0

If A and B are two points in the plane of a circle having radius r and mAB>2r ,prove that at least one of A or B is outside the circle.

$If A and B are two points in$ $the plane of a circle having$ $radius r and mAB > 2 r, prove that at least one$ $of A or B is outside the circle .$

Question Number 25290 Answers: 2 Comments: 0

∫((x dx)/(√(a^4 +x^4 )))

$\int \frac{x d x}{\sqrt{a^{4} + x^{4}}}$

Question Number 25139 Answers: 1 Comments: 0

What is the real and the imaginary part of the complex number z = (− 1)^(1000003)

$What is the real and the imaginary part of the complex number z = {(- 1)}^{1000003}$

Question Number 24831 Answers: 1 Comments: 0

∫_1 ^2 ∫_1 ^2 ln(x+y)dx dy

$\int_{1}^{2} \int_{1}^{2} l n (x + y) d x d y$

Question Number 24778 Answers: 0 Comments: 4

Show that the shortest distance between two opposite edges a,d of a tetrahedron is 6V/adsin 𝛉, where θ is the angle between the edges and V is the volume of the tetrahedron.

$S h o w t h a t t h e s h o r t e s t d i s t a n c e$ $b e t w e e n t w o o p p o s i t e e d g e s a, d$ $o f a t e t r a h e d r o n i s 6 V / a d \sin θ,$ $w h e r e θ i s t h e a n g l e b e t w e e n t h e$ $e d g e s a n d V i s t h e v o l u m e o f t h e$ $t e t r a h e d r o n .$

Question Number 24684 Answers: 0 Comments: 0

Let ABCD be a square and M, N points on sides AB, BC respectably, such that ∠MDN = 45°. If R is the midpoint of MN show that RP = RQ where P, Q are the points of intersection of AC with the lines MD, ND.

$Let A B C D be a square and M, N points$ $on sides A B, B C respectably, such that$ $∠ M D N = 45 ° . If R is the midpoint of$ $M N show that R P = R Q where P, Q$ $are the points of intersection of A C with$ $the lines M D, N D .$

Question Number 24604 Answers: 2 Comments: 0

x^2 −xsin x−cos x=0

$x^{2} - x \sin x - \cos x = 0$

Question Number 24303 Answers: 1 Comments: 0

Assertion: Enthalpy of combustion is negative. Reason: Combustion reaction can be exothermic or endothermic.

$Assertion : Enthalpy of combustion is$ $negative .$ $Reason : Combustion reaction can be$ $exothermic or endothermic .$

Question Number 24150 Answers: 0 Comments: 0

if y is a function of t then solve this y′′=ksiny diff.equ

$i f y i s a f u n c t i o n o f t t h e n s o l v e t h i s y^{″} = k s i n y d i f f . e q u$

Question Number 24055 Answers: 0 Comments: 2

Any Architect in the house? please i need your help

$A n y A r c h i t e c t i n t h e h o u s e ?$ $p l e a s e i n e e d y o u r h e l p$

Question Number 23871 Answers: 0 Comments: 0

Let ABC be a triangle and B′ be the reflection of B in the line CA and C′ be reflection of C in the line AB. Prove that ΔABC′ ≅ ΔACB′ ≅ ΔABC.

$Let A B C be a triangle and B^{'} be the$ $reflection of B in the line C A and C^{'} be$ $reflection of C in the line A B . Prove$ $that Δ {A B C}^{'} ≅ Δ {A C B}^{'} ≅ Δ A B C .$

Question Number 23856 Answers: 0 Comments: 4

The value of (C_0 + C_1 )(C_1 + C_2 ).... (C_(n−1) + C_n ) is (1) (((n + 1)^n )/(n!)) ∙ C_1 C_2 .....C_n (2) (((n − 1)^n )/(n!)) ∙ C_1 C_2 .....C_n (3) (((n)^n )/((n + 1)!)) ∙ C_1 C_2 .....C_n (4) (((n)^n )/(n!)) ∙ C_1 C_2 .....C_n

$The value of (C_{0} + C_{1}) (C_{1} + C_{2}) . . . .$ $(C_{n - 1} + C_{n}) is$ $(1) \frac{{(n + 1)}^{n}}{n!} \cdot C_{1} C_{2} . . . . . C_{n}$ $(2) \frac{{(n - 1)}^{n}}{n!} \cdot C_{1} C_{2} . . . . . C_{n}$ $(3) \frac{{(n)}^{n}}{(n + 1)!} \cdot C_{1} C_{2} . . . . . C_{n}$ $(4) \frac{{(n)}^{n}}{n!} \cdot C_{1} C_{2} . . . . . C_{n}$

Question Number 23769 Answers: 1 Comments: 9

guys , how was kvpy ( SA)?? : tinkutara , physicslover,etc....... i screwd in bio completely. how much you guys are expecting and do you have any idea of cutoff ?

$guys, how was kvpy (SA) ? ?$ $: tinkutara, physicslover, etc . . . . . . .$ $i screwd in bio completely .$ $how much you guys are expecting$ $and do you have any idea of$ $cutoff ?$

Question Number 23758 Answers: 1 Comments: 0

solve ∫tan^(−1) x ln (1+x^2 )dx

$s o l v e$ $\int \tan^{- 1} x \ln (1 + x^{2}) d x$

Question Number 23752 Answers: 1 Comments: 0

∫_1 ^2 x^3 +1=?

$\int_{1}^{2} x^{3} + 1 = ?$

Question Number 23679 Answers: 2 Comments: 0

Question Number 23677 Answers: 0 Comments: 0

solve lim_(x→inf+) ∫^(2(√x)) _(2sin(1/x)) ((2t^4 +1)/((t−3)(t^3 +3))) dt

$s o l v e$ $\underset{x \to i n f +}{li m} {\int_{2 s i n \frac{1}{x}}}^{2 \sqrt{x}} \frac{2 t^{4} + 1}{(t - 3) (t^{3} + 3)} d t$

Question Number 23663 Answers: 1 Comments: 3

solve ∫^1_ _(−1) x^2 d(lnx)

$s o l v e$ ${\int_{- 1}}^{1_{}} x^{2} d (l n x)$

Question Number 23592 Answers: 1 Comments: 0

Let ABC be a triangle with AB = AC and ∠BAC = 30°. Let A′ be the reflection of A in the line BC; B′ be the reflection of B in the line CA; C′ be the reflection of C in the line AB. Show that A′, B′, C′ form the vertices of an equilateral triangle.

$Let A B C be a triangle with A B = A C$ $and ∠ B A C = 30 ° . Let A^{'} be the reflection$ $of A in the line B C; B^{'} be the reflection$ $of B in the line C A; C^{'} be the reflection$ $of C in the line A B . Show that A^{'}, B^{'}, C^{'}$ $form the vertices of an equilateral$ $triangle .$

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