Find the slope of the line with inclination 30° .

Concept: Slope of a Line

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For the angle in standard position if the initial arm rotates 25° in anticlockwise direction, then state the quadrant in which terminal arm lies (Draw the figure and write the answer).

Concept: Angles in Standard Position

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ΔSHR ~ ΔSVU. In ΔSHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and `(SH)/(SV)=3/5`. Construct ΔSVU.

Concept: Division of a Line Segment

Appears in 2 question papers

Find the slope of the line passing through the points A(-2, 1) and B(0, 3).

Concept: Slope of a Line

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Write down the equation of a line whose slope is 3/2 and which passes through point P, where P divides the line segment AB joining A(-2, 6) and B(3, -4) in the ratio 2 : 3.

Concept: Division of a Line Segment

Appears in 1 question paper

ΔRST ~ ΔUAY, In ΔRST, RS = 6 cm, ∠S = 50°, ST = 7.5 cm. The corresponding sides of ΔRST and ΔUAY are in the ratio 5 : 4. Construct ΔUAY.

Concept: Division of a Line Segment

Appears in 1 question paper

Find the slope of the line passing through the points A(2,3) and B(4,7).

Concept: Slope of a Line

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Construct the circumcircle and incircle of an equilateral triangle ABC with side 6 cm and centre O. Find the ratio of radii of circumcircle and incircle.

Concept: Division of a Line Segment

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If `theta = 45^@`, then find `tan theta`.

Concept: Angles in Standard Position

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A slope of a line is 3 and y-intercept is –4. Write the equation of a line

Concept: Slope of a Line

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Find the circumferences of a circle whose radius is 7 cm.

Concept: Tangents and Its Properties

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Find the slope of the line passing through the points G(4, 5) and H (–1, –2).

Concept: Slope of a Line

Appears in 1 question paper

Prove that: If the angles of a triangle are 45° – 45° – 90°^{,} then each of the perpendicular sides is \[\frac{1}{\sqrt{2}}\]times the hypotenuse.”

Concept: Angles in Standard Position

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Construct the circumcircle and incircle of an equilateral ∆XYZ with side 6.5 cm and centre O. Find the ratio of the radii of incircle and circumcircle.

Concept: Division of a Line Segment

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Find the area of sector whose arc length and radius are 10 cm and 5 cm respectively

Concept: Areas of Sector and Segment of a Circle

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In the following figure seg AB ⊥ seg BC, seg DC ⊥ seg BC. If AB = 2 and DC = 3, find `(A(triangleABC))/(A(triangleDCB))`

Concept: Properties of Ratios of Areas of Two Triangles

Appears in 1 question paper

Find the slope and y-intercept of the line y = -2x + 3.

Concept: Intercepts Made by a Line

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Draw ∠ABC of measure 105° and bisect it.

Concept: Basic Geometric Constructions

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Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.

Concept: Areas of Sector and Segment of a Circle

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In the following figure, if m(are DXE) = 90° and m(are AYC) = 30°. Find ∠DBE.

Concept: Areas of Sector and Segment of a Circle

Appears in 1 question paper