SECTION A1 The number 0 47 in the form, q 0 and p, q z isa b c d - Maths - Lines and Angles

Question

SECTION A1 The number 0 47 in the form, q 0 and p, q z isa b c d
2 If x 1 is a factor of √ then the value of k isa b √c
√d √3 The equation y = 4x 7 hasa infinitely many
solutionsb exactly 2 solutionsc a unique solutiond no solution4
Euclid stated that all right angles are equal to each other in the
form ofa an axiomb a definitionc a postulated a proof5 In the given
figure, if OP ‖ RS, OPQ = 110 , QRS = 130
then PQR is equal toa 40b 60c 50d 706 The angles of a
triangle ate in the ratio 5:3:7 The triangle isa an acute angled
triangleb an obtuse angled trianglec a right triangled an isosceles
triangle7 In two triangles ABC and PQR, A = 30 , B
= 70 , P = 70 and Q = 80 and AB = RPthen,a △
ABC △ PQRb △ ABC △ QRPc △ ABC △ RQPd
△ ABC △ RPQ8 In triangles ABC and PQR, AB = AC,
C = P and B = Q The triangles area
isosceles and congruentb isosceles but not congruentc congruent but
not Isoscelesd neither congruent nor isoscelesSECTION B9 Represent
√ on a number line 10 Factorise11 In the given figure, X and
Y are the mid-points of AB and BC respectively AX = CY Showthat AB
= BC12 If the angles and are complementary angles, find x13 Which
of the points A (0, 3), B (1, 0), C (0, -1), D (-5, 0), E (1, 2)
and F (-2, -3) do not lie on Xaxis?14 The base of a right triangle
is 16 cm and its hypotenuse is 34 cm Find the area of the triangle
SECTION C15 Writein decimal form 16 Determine the rational numbers
a and b if √√√√√17 a) Factorise using
suitable identity b) Write the expansion ofc) Without actually
calculating cubes, find the value of18 If (x 2) is a factor of
polynomial then find the value of 19 If is a solution of the
equation , find the value of Also findtwo more solutions of the
equation 20 In given figure, XOY is a straight line and OQ ⊥
XY at O Show that 2 QOP = YOP -XOP21 In the
given figure, EF ‖ DQ and AB ‖ CD If FEB = 64 ,
PDC = 27 then, find PDQ,AED and
DEF22 In the given figure AC = AE, AD = AB and BAD
= CAE Prove that BC = DELearnhive Education Pvt Ltd www
learnhive comCopyright © 2013 Learnhive Education Pvt Ltd 23
In triangle PQR, PQ = QR S is any point on side PR Prove that SR SQ
24 Two triangular walls of a flyover have been used for
advertisement The sides of each wall are100 m, 80 m and 40 m The
advertisements yield an earning of Rs 1200/ per year Find theamount
of revenue earned in one year (Take √SECTION - D25 Find the
value ofa)b)26 Rationalise the denominator √ √√27
The polynomials and , whendivided by leave remainders and
respectively If , find the value of k 28 Find zeroes of polynomial
, if is a factor of the polynomial 29 Draw the graph of the
equation Find the co-ordinates of the point where thegraph cuts
axis 30 Plot the points A (-2, 3), B (-2, 0), C (2, 0) and D (2, 6)
on the graph paper Join themconsecutively Find the lengths of AC
and AD31 In the given figure AD divides angle BAC in the ration 1 :
3 and AD = DB CAE = 108 Determine the value of
CLearnhive Education Pvt Ltd www learnhive comCopyright
© 2013 Learnhive Education Pvt Ltd 32 In the given figure, BC
‖ AD and AB ‖ DC If, ADB = 36finda) xb)
zc) ABCd) BAD33 Show that the difference of
any two sides of a triangle is less than the third side 34 ABC is
an isosceles triangle, with AB = AC Side BA is produced to a point
D such that AB =AD Prove that BCD is a right angle

Anuradha Sharma · Accepted Answer

Hi,
33)

Let ABC be a triangle having sides AB, BC and CA

We know that the sum of any two sides of a triangle is greater than
the third side

∴ AB + BC > CA

⇒AB > CA – BC

This shows that difference of two sides is less than the third side
of the triangle

Similarly, we can prove it for other sides as well

Please post single query in a thread

Regards